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1.

図書
図書
1. Topology, geometry, and gauge fields : interactions
Gregory L. Naber
出版情報: New York : Springer, c2000  xiii, 443 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; 141
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Preface
Acknowledgements
Geometrical Background
Physical Motivation
Frame Bundles and Spacetime
Differential Forms and Integration Introduction
de Rham Cohomology Introduction
Characteristic Classes
Appendix
References
Symbols
Index
Preface
Acknowledgements
Geometrical Background
2.

図書
図書
2. Methods for solving inverse problems in mathematical physics
Aleksey I. Prilepko, Dmitry G. Orlovsky, Igor A. Vasin
出版情報: New York : Marcel Dekker, c2000  xiii, 709 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 231
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Inverse problems for equations of parabolic type
inverse problems for equations of hyperbolic type
inverse problems for equations of elliptic type
inverse problems in dynamics of viscous incompressible fluid
some topics from functional analysis and operator theory
abstract inverse problems for first order equations and their applications in mathematical physics
two-point inverse problems for first order equations
inverse problems for equations of second order
applications of
Inverse problems for equations of parabolic type
inverse problems for equations of hyperbolic type
inverse problems for equations of elliptic type
3.

図書
図書
3. The geometry of spacetime : an introduction to special and general relativity
James J. Callahan
出版情報: New York : Springer, c2000  xvi, 451 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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Relativity before 1905
Special relativityùkinematics
Special relativityùkinetics
Arbitrary frames
Surfaces and curvatures
Intrinsic geometry
General relativity
Consequences
Relativity before 1905
Special relativityùkinematics
Special relativityùkinetics
4.

図書
図書
4. Knots and physics. 3rd ed.
Louis H. Kauffman
出版情報: Singapore : World Scientific, c2001  xvi, 770 p. ; 23 cm
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Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
A Short Course of Knots and Physics / Part I.：
Physical Knots / 1.：
Diagrams and Moves / 2.：
States and the Bracket Polynomial / 3.：
Alternating Links and Checkerboard Surfaces / 4.：
The Jones Polynomial and its Generalizations / 5.：
An Oriented State Model for V[subscript K](t) / 6.：
Braids and the Jones Polynomial / 7.：
Abstract Tensors and the Yang-Baxter Equation / 8.：
Formal Feynman Diagrams, Bracket as a Vacuum-Vacuum Expectation and the Quantum Group SL(2)[subscript q] / 9.：
The Form of the Universal R-matrix / 10.：
Yang-Baxter Models for Specializations of the Homfly Polynomial / 11.：
The Alexander Polynomial / 12.：
Knot-Crystals - Classical Knot Theory in a Modern Guise / 13.：
The Kauffman Polynomial / 14.：
Oriented Models and Piecewise Linear Models / 15.：
Three Manifold Invariants from the Jones Polynomial / 16.：
Integral Heuristics and Witten's Invariants / 17.：
Appendix - Solutions to the Yang-Baxter Equation / 18.：
Knots and Physics--Miscellany / Part II.：
Theory of Hitches
The Rubber Band and Twisted Tube
On a Crossing
Slide Equivalence
Unoriented Diagrams and Linking Numbers
The Penrose Chromatic Recursion
The Chromatic Polynomial
The Potts Model and the Dichromatic Polynomial
Preliminaries for Quantum Mechanics, Spin Networks and Angular Momentum
Quaternions, Cayley Numbers and the Belt Trick
The Quaternion Demonstrator
The Penrose Theory of Spin Networks
Q-Spin Networks and the Magic Weave
Knots and Strings - Knotted Strings
DNA and Quantum Field Theory
Knots in Dynamical Systems - The Lorenz Attractor
Coda
References
Index
Appendix
Introduction
Gauss Codes, Quantum Groups and Ribbon Hopf Algebras
Spin Networks, Topology and Discrete Physics
Link Polynomials and a Graphical Calculus / P. Vogel
Knots, Tangles, and Electrical Networks / J. R. Goldman
Knot Theory and Functional Integration
Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
5.

図書
図書
5. Mathematical foundations of classical statistical mechanics : continuous systems. 2nd ed.
D.Ya. Petrina, V.I. Gerasimenko and P.V. Malyshev ; translated from the Russian by P.V. Malyshev and D.V. Malyshev
出版情報: London : Taylor & Francis, 2002  ix, 338 p. ; 24 cm
シリーズ名: Advanced studies in contemporary mathematics ; v. 8
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Problem for the BBGKY Hierarchy
Equilibrium States
Canonical Ensemble
Grand Canonical Ensemble
Thermodynamic Limit for Non-equilibrium Systems
Stationary Solutions of the BBGKY Hierarchy of Equations / Appendix 1：
Existence of the Hamiltonian Dynamics of Infinitely Many Particles / Appendix 2：
References
Index
Problem for the BBGKY Hierarchy
Equilibrium States
Canonical Ensemble
6.

図書
図書
6. Progress in analysis : proceedings of the 3rd International ISAAC Congress, Berlin, Germany, 20 - 25 August 2001 (v.1 ; v.2 ; set)
Heinrich G.W. Begehr, Robert Pertsch Gilbert, Man-Wah Wong, editors
出版情報: New Jersey : World Scientific, c2003  2v. ; 26 cm
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7.

図書
図書
7. Green's functions and ordered exponentials (: hardback ; : pbk)
H.M. Fried
出版情報: Cambridge : Cambridge University Press, 2002  xi, 169 p. ; 24 cm
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8.

図書
図書
8. Jean Leray '99 Conference proceedings : the Karlskrona Conference in honor of Jean Leray
edited by Maurice de Gosson
出版情報: Dordrecht : Kluwer Academic, c2003  xii, 561 p. ; 25 cm
シリーズ名: Mathematical physics studies ; 24
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Preface
Introduction
Acknowledgements
Hyperbolic systems and Equations / Part I：
Caractere holonome d'une solution elementaire / L. Boutet de Monvel
Necessary conditions for hyperbolicity of first order systems / A. Bove ; T. Nishitani
On the Cauchy problem for hyperbolic operators with non-regular coefficients / F. Colombini ; D. Del Santo ; T. Kinoshita
Multiple points of the characteristic manifold of a diagonalizable operator / H. Delquie ; J. Vaillant
Large temps de vie des solutions d'un probleme de Cauchy non lineaire / D. Gourdin ; M. Mechab
Une remarque sur un prolongement analytique de la solution du probleme de Cauchy / Y. Hamada
Conormality and lagrangian properties along diffractive rays / P. Laubin
Caracterisation des operateurs differentiels hyperboliques / Y. Ohya
A dependence domain for a class of micro-differential equations with involutive double characteristics / Y. Okada ; N. Tose
Ramification non abelienne / C. Wagschal
Symplectic Mechanics and Geometry / Part II：
Extension du calcul differentiel et application a la theorie des groupes de Lie en dimension infinie / P. Dazord
The cohomological meaning of Maslov's lagrangian path intersection index / M. de Gosson ; S. de Gosson
A Kahler structure on the punctured cotangent bundle of the Cayley projective plane / K. Furutani
On mechanical systems with a Lie group as configuration space / C.-M. Marle
Dirac fields on asymptotically simple space-times / J.-P. Nicolas
An embedding result for some general symbol classes in the Weyl calculus / J. Toft
The lagrangian in symplectic mechanics / G. M. Tuynman
Geometry of solution spaces of spaces of Yang-Mills equations / J. Sniatycki
Sheaves and Spectral Sequences / Part III：
La theorie des residus sur un espace analytique complexe / V. Ancona ; B. Gaveau
Derivation of exact triples and Leray-Koszul spectral sequences / B. Bendiffalah
Elliptic Operators; Index Theory / Part IV：
Le noyau de la chaleur des operateurs sous-elliptiques des groupes d'Heisenberg / R. Beals ; P. Greiner
The geometry of Cauchy data spaces / B. Booss-Bavnbek ; K.-P. Wojciechowski
On the Cauchy problem for Kirchhoff equations of p-laplacian type / K. Kajitani
A remark on surgery in index theory of elliptic operators / V.-E. Nazaikinskii ; B.-Y. Sternin
The [eta] invariant and elliptic operators in subspaces / A. Savin ; B.-W. Schulze ; B. Sternin
Regularisation of mixed boundary problems / A. Shlapunov ; N. Tarkhanov
Mathematical Physics / Part V：
Covariant method for solution of Cauchy's problem based on Lie group analysis and Leray's form / N. Ibragimov
Liouville forms, parallelisms and Cartan connections / P. Libermann
A two-dimensional non-linear shell model of Koiter's type / P.-G. Ciarlet
A model of the process of thinking based on the dynamics of bundles of branches and sets of bundles of p-adic trees / A. Khrennikov
Global wave maps on black holes / Y. Choquet-Bruhat
Entanglement, parataxy, and cosmology / E. Binz ; W. Schempp
Sur le controle des equations de Navier-Stokes / J.-L. Lions
Addresses
Preface
Introduction
Acknowledgements
9.

図書
図書
9. Studies in memory of Issai Schur (: Boston ; : Basel)
Anthony Joseph, Anna Melnikov, Rudolf Rentschler, editors
出版情報: Boston ; Basel : Birkhäuser, c2003  clxxxiii, 365 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 210
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10.

図書
図書
10. Notes on Seiberg-Witten theory
Liviu I. Nicolaescu
出版情報: Providence, R.I. : American Mathematical Society, c2000  xviii, 484 p. ; 27 cm
シリーズ名: Graduate studies in mathematics ; v. 28
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Preliminaries
The Seiberg-Witten invariants
Seiberg-Witten equations on complex surfaces
Gluing techniques
Epilogue
Bibliography
Index
Preliminaries
The Seiberg-Witten invariants
Seiberg-Witten equations on complex surfaces
11.

図書
図書
11. Equations in mathematical physics : a practical course (: sz)
Victor P. Pikulin, Stanislav I. Pohozaev ; translated from the Russian by Andrei Iacob
出版情報: Basel : Birkhäuser Verlag, c2001  viii, 206 p. ; 24 cm
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12.

図書
図書
12. Topological quantum field theories from subfactors (: pbk)
Vijay Kodiyalam and V.S. Sunder
出版情報: Boca Raton, FL. ; London : Chapman & Hall/CRC, c2001  x, 124 p. ; 24 cm
シリーズ名: Research notes in mathematics ; 423
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Preface
Preliminaries on TQFTs / 1：
Introduction / 1.1：
Quantisation functors / 1.2：
Fusion algebras / 1.3：
The invariant / 2：
The construction / 2.1：
Invariance / 2.2：
von Neumann algebras / 3：
Preliminaries on II[subscript 1] factors / 3.1：
Bases and M-valued inner products / 3.2：
Contragredients and tensor products / 3.3：
Frobenius reciprocity / 3.4：
TQFTs from subfactors / 3.5：
The group example / 4：
The TQFT / 4.1：
The quantum double / 4.2：
Appendix / A：
Some topological preliminaries / A.1：
Simplicial complexes / A.2：
Bibliography
Index
Preface
Preliminaries on TQFTs / 1：
Introduction / 1.1：
13.

図書
図書
13. Quantum theory, deformation and integrability
Robert Carroll
出版情報: Amsterdam : Elsevier, 2000  xi, 407 p. ; 25 cm
シリーズ名: North-Holland mathematics studies ; 186
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Quantization and Integrability / 1：
Algebraic and Geometric Methods / 1.1：
Vertex Operators and Coherent States / 1.2：
Remarks on the Olavo Theory / 1.3：
Trajectory Representations / 1.4：
Miscellaneous / 1.5：
Geometry and Embedding / 2：
Curves and Surfaces / 2.1：
Surfaces in R3 and Conformal Immersion / 2.2：
Quantum Mechanics on Embedded Objects / 2.3：
Willmore Surfaces, Strings and Dirac / 2.4：
Conformal Maps and Curves / 2.5：
Classical and Quantum Integrability / 3：
Background / 3.1：
R Matrices and PL Structures / 3.2：
Quantization and Quantum Groups / 3.3：
Algebraic Bethe Ansatz / 3.4：
Separation of Variables / 3.5：
Hirota Equations / 3.6：
SOV and Hitchin Systems / 3.7：
Deformation Quantization / 3.8：
Summary Remarks / 3.9：
Discrete Geometry and Moyal / 4：
Introduction / 4.1：
Hirota, Strings, and Discrete Surfaces / 4.2：
A Few Summary Remarks / 4.3：
More on Phase Space Discretization / 4.4：
Whitham Theory / 5：
Isomonodromy Problems / 5.1：
Whitham and Seiberg-Witten / 5.3：
Soft Susy Breaking and Whitham / 5.4：
Renormalization / 5.5：
Whitham, WDVV, and Picard-Fuchs / 5.6：
Geometry and Deformation Quantization / 6：
Noncommutative Geometry / 6.1：
Gauge Theories / 6.2：
Berezin Toeplitz Quantization / 6.3：
Bibliography
Index
Quantization and Integrability / 1：
Algebraic and Geometric Methods / 1.1：
Vertex Operators and Coherent States / 1.2：
14.

図書
図書
14. An Introduction to dirac operators on manifolds
Jan Cnops
出版情報: Boston : Birkhäuser, c2002  x, 211 p. ; 24 cm
シリーズ名: Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser ; v. 24
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Introduction
Clifford Algebras
Manifolds
Dirac Operators
Conformal Maps
Unique Continuation and the Cauchy Kernel
Boundary Values
Appendix
General Manifolds
The Additional Canterbury Tales
List of Symbols
Bibliography
Index
Introduction
Clifford Algebras
Manifolds
15.

図書
図書
15. Perspectives of complex analysis, differential geometry and mathematical physics : proceedings of the 5th international workshop on complex structures and vector fields, St. Konstantin, Bulgaria, 3-9 September 2000
editors, Stancho Dimiev, Kouei Sekigawa
出版情報: Singapore : World Scientific, c2001  x, 208 p. ; 23 cm
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16.

図書
図書
16. Partial regularity for harmonic maps and related problems
Roger Moser
出版情報: New Jersey : World Scientific, c2005  viii, 184 p. ; 24 cm
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17.

図書
図書
17. Tensors and manifolds : with applications to physics. 2nd ed (: hbk)
Robert H. Wasserman
出版情報: Oxford : Oxford University Press, 2004  xiv, 447 p. ; 24 cm
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18.

図書
図書
18. The geometry of physics : an introduction. 2nd ed (: hbk ; : pbk)
Theodore Frankel
出版情報: Cambridge : Cambridge University Press, 2004  xxvi, 694 p. ; 26 cm
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Preface
Manifolds, Tensors and Exterior Forms / Part I：
Manifolds and vector fields / 1：
Tensors and exterior forms / 2：
Integration of differential forms / 3：
The Lie derivative / 4：
The Poincaré lemma and potentials / 5：
Holonomic and non-holonomic constraints / 6：
Geometry and Topology / Part II：
R3 and Minkowski space / 7：
The geometry of surfaces in R3 / 8：
Covariant differentiation and curvature / 9：
Geodesics / 10：
Relativity, tensors, and curvature / 11：
Curvature and topology: Synge's theorem / 12：
Betti numbers and de Rham's theorem / 13：
Harmonic forms / 14：
Lie Groups, Bundles and Chern Forms / Part III：
Lie groups / 15：
Vector bundles in geometry and physics / 16：
Fiber bundles, Gauss-Bonnet, and topological quantization / 17：
Connections and associated bundles / 18：
The Dirac equation / 19：
Yang-Mills fields / 20：
Betti numbers and covering spaces / 21：
Chern forms and homotopy groups / 22：
Forms in continuum mechanics / Appendix A：
Harmonic chains and Kirchhoff's circuit laws / Appendix B：
Symmetries, quarks, and meson masses / Appendix C：
Representations and hyperelastic bodies / Appendix D：
Orbits and Morse-Bott theory in compact Lie groups / Appendix E：
Preface to the Second Edition
Preface to the Revised Printing
Preface to the First Edition
Manifolds, Tensors, and Exterior Forms / I：
Manifolds and Vector Fields
Submanifolds of Euclidean Space / 1.1.：
Manifolds / 1.2.：
Tangent Vectors and Mappings / 1.3.：
Vector Fields and Flows / 1.4.：
Tensors and Exterior Forms
Covectors and Riemannian Metrics / 2.1.：
The Tangent Bundle / 2.2.：
The Cotangent Bundle and Phase Space / 2.3.：
Tensors / 2.4.：
The Grassmann or Exterior Algebra / 2.5.：
Exterior Differentiation / 2.6.：
Pull-Backs / 2.7.：
Orientation and Pseudoforms / 2.8.：
Interior Products and Vector Analysis / 2.9.：
Dictionary / 2.10.：
Integration of Differential Forms
Integration over a Parameterized Subset / 3.1.：
Integration over Manifolds with Boundary / 3.2.：
Stokes's Theorem / 3.3.：
Integration of Pseudoforms / 3.4.：
Maxwell's Equations / 3.5.：
The Lie Derivative
The Lie Derivative of a Vector Field / 4.1.：
The Lie Derivative of a Form / 4.2.：
Differentiation of Integrals / 4.3.：
A Problem Set on Hamiltonian Mechanics / 4.4.：
The Poincare Lemma and Potentials
A More General Stokes's Theorem / 5.1.：
Closed Forms and Exact Forms / 5.2.：
Complex Analysis / 5.3.：
The Converse to the Poincare Lemma / 5.4.：
Finding Potentials / 5.5.：
Holonomic and Nonholonomic Constraints
The Frobenius Integrability Condition / 6.1.：
Integrability and Constraints / 6.2.：
Heuristic Thermodynamics via Caratheodory / 6.3.：
R[superscript 3] and Minkowski Space / II：
Curvature and Special Relativity / 7.1.：
Electromagnetism in Minkowski Space / 7.2.：
The Geometry of Surfaces in R[superscript 3]
The First and Second Fundamental Forms / 8.1.：
Gaussian and Mean Curvatures / 8.2.：
The Brouwer Degree of a Map: A Problem Set / 8.3.：
Area, Mean Curvature, and Soap Bubbles / 8.4.：
Gauss's Theorema Egregium / 8.5.：
The Parallel Displacement of Levi-Civita / 8.6.：
Covariant Differentiation and Curvature
Covariant Differentiation / 9.1.：
The Riemannian Connection / 9.2.：
Cartan's Exterior Covariant Differential / 9.3.：
Change of Basis and Gauge Transformations / 9.4.：
The Curvature Forms in a Riemannian Manifold / 9.5.：
Parallel Displacement and Curvature on a Surface / 9.6.：
Riemann's Theorem and the Horizontal Distribution / 9.7.：
Geodesics and Jacobi Fields / 10.1.：
Variational Principles in Mechanics / 10.2.：
Geodesics, Spiders, and the Universe / 10.3.：
Relativity, Tensors, and Curvature
Heuristics of Einstein's Theory / 11.1.：
Tensor Analysis / 11.2.：
Hilbert's Action Principle / 11.3.：
The Second Fundamental Form in the Riemannian Case / 11.4.：
The Geometry of Einstein's Equations / 11.5.：
Curvature and Topology: Synge's Theorem
Synge's Formula for Second Variation / 12.1.：
Curvature and Simple Connectivity / 12.2.：
Betti Numbers and De Rham's Theorem
Singular Chains and Their Boundaries / 13.1.：
The Singular Homology Groups / 13.2.：
Homology Groups of Familiar Manifolds / 13.3.：
De Rham's Theorem / 13.4.：
Harmonic Forms
The Hodge Operators / 14.1.：
Boundary Values, Relative Homology, and Morse Theory / 14.2.：
Lie Groups, Bundles, and Chern Forms / III：
Lie Groups
Lie Groups, Invariant Vector Fields, and Forms / 15.1.：
One-Parameter Subgroups / 15.2.：
The Lie Algebra of a Lie Group / 15.3.：
Subgroups and Subalgebras / 15.4.：
Vector Bundles in Geometry and Physics
Vector Bundles / 16.1.：
Poincare's Theorem and the Euler Characteristic / 16.2.：
Connections in a Vector Bundle / 16.3.：
The Electromagnetic Connection / 16.4.：
Fiber Bundles, Gauss-Bonnet, and Topological Quantization
Fiber Bundles and Principal Bundles / 17.1.：
Coset Spaces / 17.2.：
Chern's Proof of the Gauss-Bonnet-Poincare Theorem / 17.3.：
Line Bundles, Topological Quantization, and Berry Phase / 17.4.：
Connections and Associated Bundles
Forms with Values in a Lie Algebra / 18.1.：
Associated Bundles and Connections / 18.2.：
r-Form Sections of a Vector Bundle: Curvature / 18.3.：
The Dirac Equation
The Groups SO (3) and SU (2) / 19.1.：
Hamilton, Clifford, and Dirac / 19.2.：
The Dirac Algebra / 19.3.：
The Dirac Operator [characters not reproducible] in Minkowski Space / 19.4.：
The Dirac Operator in Curved Space-Time / 19.5.：
Yang-Mills Fields
Noether's Theorem for Internal Symmetries / 20.1.：
Weyl's Gauge Invariance Revisited / 20.2.：
The Yang-Mills Nucleon / 20.3.：
Compact Groups and Yang-Mills Action / 20.4.：
The Yang-Mills Equation / 20.5.：
Yang-Mills Instantons / 20.6.：
Betti Numbers and Covering Spaces
Bi-invariant Forms on Compact Groups / 21.1.：
The Fundamental Group and Covering Spaces / 21.2.：
The Theorem of S. B. Myers: A Problem Set / 21.3.：
The Geometry of a Lie Group / 21.4.：
Chern Forms and Homotopy Groups
Chern Forms and Winding Numbers / 22.1.：
Homotopies and Extensions / 22.2.：
The Higher Homotopy Groups [pi subscript k] (M) / 22.3.：
Some Computations of Homotopy Groups / 22.4.：
Chern Forms as Obstructions / 22.5.：
Forms in Continuum Mechanics / Appendix A.：
The Classical Cauchy Stress Tensor and Equations of Motion / A.a.：
Stresses in Terms of Exterior Forms / A.b.：
Symmetry of Cauchy's Stress Tensor in R[superscript n] / A.c.：
The Piola-Kirchhoff Stress Tensors / A.d.：
Stored Energy of Deformation / A.e.：
Hamilton's Principle in Elasticity / A.f.：
Some Typical Computations Using Forms / A.g.：
Concluding Remarks / A.h.：
Harmonic Chains and Kirchhoff's Circuit Laws / Appendix B.：
Chain Complexes / B.a.：
Cochains and Cohomology / B.b.：
Transpose and Adjoint / B.c.：
Laplacians and Harmonic Cochains / B.d.：
Kirchhoff's Circuit Laws / B.e.：
Symmetries, Quarks, and Meson Masses / Appendix C.：
Flavored Quarks / C.a.：
Interactions of Quarks and Antiquarks / C.b.：
The Lie Algebra of SU (3) / C.c.：
Pions, Kaons, and Etas / C.d.：
A Reduced Symmetry Group / C.e.：
Meson Masses / C.f.：
Representations and Hyperelastic Bodies / Appendix D.：
Hyperelastic Bodies / D.a.：
Isotropic Bodies / D.b.：
Application of Schur's Lemma / D.c.：
Frobenius-Schur Relations / D.d.：
The Symmetric Traceless 3 x 3 Matrices Are Irreducible / D.e.：
Orbits and Morse-Bott Theory in Compact Lie Groups / Appendix E.：
The Topology of Conjugacy Orbits / E.a.：
Application of Bott's Extension of Morse Theory / E.b.：
References
Index
Preface
Manifolds, Tensors and Exterior Forms / Part I：
Manifolds and vector fields / 1：
19.

図書
図書
19. Quantum integrable systems (: pbk)
Asesh Roy Chowdhury and Anindya Ghose Choudhury
出版情報: Boca Raton : Chapman & Hall/CRC, c2004  [xi], 412 p. ; 24 cm
シリーズ名: Research notes in mathematics ; 435
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20.

図書
図書
20. Chiral algebras
Alexander Beilinson, Vladimir Drinfeld
出版情報: Providence, R.I. : American Mathematical Society, c2004  vi, 375 p. ; 26 cm
シリーズ名: Colloquium publications / American Mathematical Society ; v. 51
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Introduction Axiomatic patterns
Geometry of $\mathcal{D}$-schemes Local theory: Chiral basics
Global theory: Chiral homology
Bibliography
Index and notation
Introduction Axiomatic patterns
Geometry of $\mathcal{D}$-schemes Local theory: Chiral basics
Global theory: Chiral homology
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