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1.

図書
図書
1. Aspects topologiques de la physique en basse dimension : Les Houches, session LXIX, 7-31 July 1998 = Topological aspects of low dimensional systems (: Springer ; : EDP sciences)
edited by A. Comtet, T. Jolicœur, S. Ouvry and F. David
出版情報: Berlin : Springer in cooperation with the NATO Scientific Affair Division , Les Ulis : EDP sciences, 1999  xxxiv, 909 p. ; 23 cm
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目次情報: 続きを見る
Lecturers
Participants
Préface
Preface
Contents
Electrons in a Flatland / M. ShayeganCourse 1：
Introduction / 1：
Samples and measurements / 2：
2D electrons at the GaAs/AlGaAs interface / 2.1：
Magnetotransport measurement techniques / 2.2：
Ground states of the 2D System in a strong magnetic field / 3：
Shubnikov-de Haas oscillations and the IQHE / 3.1：
FQHE and Wigner crystal / 3.2：
Composite fermions / 4：
Ferromagnetic state at ν = 1 and Skyrmions / 5：
Correlated bilayer electron states / 6：
Overview / 6.1：
Electron System in a wide, single, quantum well / 6.2：
Evolution of the QHE states in a wide quantum well / 6.3：
Evolution of insulating phases / 6.4：
Many-body, bilayer QHE at ν = 1 / 6.5：
Spontaneous interlayer Charge transfer / 6.6：
Summary / 6.7：
The Quantum Hall Effect: Novel Excitations and Broken Symmetries / S.M.GirvinCourse 2：
The quantum Hall effect
Why 2D is important / 1.1：
Constructing the 2DEG / 1.3：
Why is disorder and localization important? / 1.4：
Classical dynamics / 1.5：
Semi-classical approximation / 1.6：
Quantum dynamics in strong B Fields / 1.7：
IQHE edge states / 1.8：
Semiclassical percolation picture / 1.9：
Fractional QHE / 1.10：
The ν = 1 many-body state / 1.11：
Neutral collective excitations / 1.12：
Charged excitations / 1.13：
FQHE edge states / 1.14：
Quantum hall ferromagnets / 1.15：
Coulomb exchange / 1.16：
Spin wave excitations / 1.17：
Effective action / 1.18：
Topological excitations / 1.19：
Skyrmion dynamics / 1.20：
Skyrme lattices / 1.21：
Double-layer quantum Hall ferromagnets / 1.22：
Pseudospin analogy / 1.23：
Experimental background / 1.24：
Interlayer phase coherence / 1.25：
Interlayer tunneling and tilted field effects / 1.26：
Lowest Landau level projection / Appendix A：
Berry's phase and adiabatic transport / Appendix B：
Aspects of Chern-Simons Theory / G.V.DunneCourse 3：
Basics of planar field theory
Chern-Simons coupled to matter fields - "anyons"
Maxwell-Chern-Simons: Topologically massive gauge theory
Fermions in 2 + 1-dimensions / 2.3：
Discrete symmetries: <$>{\cal P}, {\cal C}<$> and <$>{\cal T}<$> / 2.4：
Poincaré algebra in 2 + 1-dimensions / 2.5：
Nonabelian Chern-Simons theories / 2.6：
Canonical quantization of Chern-Simons theories
Canonical structure of Chern-Simons theories
Chern-Simons quantum mechanics
Canonical quantization of abelian Chern-Simons theories / 3.3：
Quantization on the torus and magnetic translations / 3.4：
Canonical quantization of nonabelian Chern-Simons theories / 3.5：
Chern-Simons theories with boundary / 3.6：
Chern-Simons vortices
Abelian-Higgs model and Abrikosov-Nielsen-Olesen vortices / 4.1：
Relativistic Chern-Simons vortices / 4.2：
NonabelianrelativisticChern-Simonsvortices / 4.3：
Nonrelativistic Chern-Simons vortices: Jackiw-Pi model / 4.4：
NonabeliannonrelativisticChern-Simonsvortices / 4.5：
Vortices in the Zhang-Hansson-Kivelson model for FQHE / 4.6：
Vortex dynamics / 4.7：
Induced Chern-Simons terms
Perturbatively induced Chern-Simons terms: Fermion loop / 5.1：
Induced currents and Chern-Simons terms / 5.2：
Induced Chern-Simons terms without fermions / 5.3：
A finite temperature puzzle / 5.4：
Quantum mechanical finite temperature model / 5.5：
Exact finite temperature 2 + 1 effective actions / 5.6：
Finite temperature perturbation theory and Chern-Simons terms / 5.7：
Anyons / J. MyrheimCourse 4：
The concept of particle statistics
Statistical mechanics and the many-body problem
Experimental physics in two dimensions
The algebraic approach: Heisenberg quantization
More general quantizations
The configuration space
The Euclidean relative space for two particles
Dimensions d = 1, 2, 3
Homotopy
The braid group
Schrödinger quantization in one dimension
Heisenberg quantization in one dimension
The coordinate representation
Schrödinger quantization in dimension d ≥ 2
Scalar wave functions
Interchange phases
The statistics vector potential
The N-particle case
Chern-Simons theory
The Feynman path integral for anyons
Eigenstates for Position and momentum
The path integral
Conjugation classes in SN
The non-interacting case
Duality of Feynman and Schrödinger quantization
The harmonic oscillator / 7：
The two-dimensional harmonic oscillator / 7.1：
Two anyons in a harmonic oscillator potential / 7.2：
More than two anyons / 7.3：
The three-anyon problem / 7.4：
The anyon gas / 8：
The cluster and virial expansions / 8.1：
First and second order perturbative results / 8.2：
Regularization by periodic boundary conditions / 8.3：
Regularization by a harmonic oscillator potential / 8.4：
Bosons and fermions / 8.5：
Two anyons / 8.6：
Three anyons / 8.7：
The Monte Carlo method / 8.8：
The path integral representation of the coefficients <$>G_{\cal P}<$> / 8.9：
Exact and approximate polynomials / 8.10：
The fourth virial coefficient of anyons / 8.11：
Two polynomial theorems / 8.12：
Charged particles in a constant magnetic field / 9：
One particle in a magnetic field / 9.1：
Two anyons in a magnetic field / 9.2：
The anyon gas in a magnetic field / 9.3：
Interchange phases and geometric phases / 10：
Introduction to geometric phases / 10.1：
Two particles in a magnetic field / 10.2：
Interchange of two anyons in potential wells / 10.4：
Laughlin's theory of the fractional quantum Hall effect / 10.5：
Generalized Statistics in One Dimension / A.P. PolychronakosCourse 5：
Permutation group approach
Realization of the reduced Hilbert space
Path integral and generalized statistics
Cluster decomposition and factorizability
One-dimensional systems: Calogero model
The Calogero-Sutherland-Moser model
Large-N properties of the CSM model and duality
One-dimensional systems: Matrix model
Hermitian matrix model
The unitary matrix model
Quantization and spectrum
Reduction to spin-particle systems
Operator approaches
Exchange operator formalism
Systems with internal degrees of freedom
Asymptotic Bethe ansatz approach
The freezing trick and spin models
Exclusion statistics
Motivation from the CSM model
Semiclassics - Heuristics
Exclusion statistical mechanics
Exclusion statistics path integral
Is this the only "exclusion" statistics?
Epilogue
Lectures on Non-perturbative Field Theory and Quantum Impurity Problems / H.SaleurCourse 6：
Some notions of conformal field theory
The free boson via path integrals
Normal ordering and OPE
The stress energy tensor
Conformal in(co)variance
Some remarks on Ward identities in QFT
The Virasoro algebra: Intuitive introduction
Cylinders
The free boson via Hamiltonians
Modular invariance
Conformal invariance analysis of quantum impurity fixed points
Boundary conformal field theory
Partition functions and boundary states
Boundary entropy
The boundary sine-Gordon model: General results
The model and the flow
Perturbation near the UV fixed point
Perturbation near the IR fixed point
An alternative to the instanton expansion: The conformal invariance analysis
Search for integrability: Classical analysis
Quantum integrability
Conformal perturbation theory
S-matrices
Back to the boundary sine-Gordon model
The thermodynamic Bethe-ansatz: The gas of particles with "Yang-Baxter statistics"
Zamolodchikov Fateev algebra
The TBA
A Standard computation: The central Charge
Thermodynamics of the flow between N and D fixed points
Using the TBA to compute static transport properties
Tunneling in the FQHE
Conductance without impurity
Conductance with impurity
Quantum Partition Noise and the Detection of Fractionally Charged Laughlin Quasiparticles / D.C. GlattliSeminar 1：
Partition noise in quantum conductors
Quantum partition noise
Partition noise and quantum statistics
Quantum conductors reach the partition noise limit
Experimental evidences of quantum partition noise in quantum conductors
Partition noise in the quantum Hall regime and determination of the fractional Charge
Edge states in the integer quantum Hall effect regime
Tunneling between IQHE edge channels and partition noise
Edge channels in the fractional regime
Noise predictions in the fractional regime
Measurement of the fractional Charge using noise
Beyond the Poissonian noise of fractional charges
Mott Insulators, Spin Liquids and Quantum Disordered Superconductivity / Matthew P.A. FisherCourse 7：
Models and metals
Noninteracting electrons
Interaction effects
Mott insulators and quantum magnetism
Spin models and quantum magnetism
Spin liquids
Bosonization primer
2 Leg Hubbard ladder
Bonding and antibonding bands
Interactions
Bosonization
d-Mott phase
Symmetry and doping
d-Wave superconductivity
BGS theory re-visited
d-wave symmetry
Continuum description of gapless quasiparticles
Effective field theory
Quasiparticles and phase flucutations
Nodons
Vortices
ic/2e versus hc/e vortices
Duality
Nodal liquid phase
Half-filling
Doping the nodal liquid
Closing remarks
Lattice duality
Two dimensions / A.1：
Three dimensions / A.2：
Statistics of Knots and Entangled Random Walks / S. NechaevCourse 8：
Lecturers
Participants
Préface
2.

図書
図書
2. Algèbre non commutative groupes quantiques et invariants : Septième contact Franco-Belge, Reims (France), Juin 1995
J. Alev, G. Cauchon, éditeurs
出版情報: Paris : Société mathématique de France, c1997  ix, 294 p. ; 24 cm
シリーズ名: Collection SMF ; . Séminaires et congrès ; no. 2
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3.

図書
図書
3. Selected papers : œuvres scientifiques (: set - 3)
Jean Leray ; [editor, Paul Malliavin]
出版情報: Berlin : Springer, 1998 , Paris : Société mathématique de France, c1998  3 v. ; 25 cm
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4.

図書
図書
4. Séminaire de probabilités XXXII (: gw)
J. Azéma ... [et al.] (eds.)
出版情報: Berlin : Springer-Verlag, c1998  vi, 429 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1686
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5.

図書
図書
5. Group representations : cohomology, group actions and topology : Summer Research Institute on Cohomology, Representations, and Actions of Finite Groups, July 7-27, 1996, University of Washington, Seattle
Alejandro Adem ... [et al.], editors
出版情報: Providence, R.I. : American Mathematical Society, c1998  xiii, 532 p. ; 27 cm
シリーズ名: Proceedings of symposia in pure mathematics ; v. 63
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On the cohomology of Coxeter groups and their finite parabolic subgroups. II / T. Akita
Linear source modules and trivial source modules / R. Boltje
Resolutions de foncteurs de Mackey / S. Bouc
Homotopy uniqueness of $BPU(3)$ / C. Broto ; A. Viruel
Lowering operators for $GL(n)$ and quantum $GL(n)$ / J. Brundan
Homomorphisms in higher complexity quotient categories / J. F. Carlson ; W. W. Wheeler
On the homotopy theory of $p$-completed classifying spaces / F. R. Cohen ; R. Levi
$H^*V$ is of bounded type over $\mathcal{A}(p)$ / M. D. Crossley
Classifying spaces of central group extensions / J. Dietz ; T. Ratliff
Sharp homology decompositions for classifying spaces of finite groups / W. G. Dwyer
On the geometry and cohomology of the simple groups $G_2(q)$ and $^3D_4(q)$ / P. Fong ; R. J. Milgram
Transfer and Chern classes for extraspecial $p$-groups / D. J. Green ; P. A. Minh
The infinite order of the symplectic classes in the cohomology of the stable mapping class group / R. Grieder
A variant of the proof of the Landweber Stong conjecture / H.-W. Henn
Unstable modules over the Steenrod algebra and cohomology of groups
The category of Mackey functors for a compact Lie group / L. G. Lewis
Comparison of extensions of modules for algebraic groups and quantum groups / Z. Lin
The defect of the completion of a Green functor / F. Luca
Simple modules of Ariki-Koike algebras / A. Mathas
On the geometry and cohomology of the simple groups $G_2(q)$ and $^3D_4(q)$: II
On the relation between simple groups and homotopy theory
Varieties for $G_rT$-modules / D. K. Nakano
On defect groups of the Mackey algebras for finite groups / F. Oda
Applications of stable classifying space theory to group cohomology / S. Priddy
The spectra $k$ and $kO$ are not Thom spectra / Yu. B. Rudyak
The code of a regular generalized quadrangle of even order / N. S. N. Sastry ; P. Sin
Quivers of blocks with normal defect group / M. Schaps ; D. Shapira ; O. Shlomo
Cohomology of a homogeneous space $E_6/T^1 \cdot SU(6)$ / T. Watanabe
Problem session, Seattle 1996 / D. Benson
On the cohomology of Coxeter groups and their finite parabolic subgroups. II / T. Akita
Linear source modules and trivial source modules / R. Boltje
Resolutions de foncteurs de Mackey / S. Bouc
6.

図書
図書
6. Quantum groups and knot invariants (: pbk)
Christian Kassel, Marc Rosso, Vladimir Turaev
出版情報: Paris : Société mathématique de France, 1997  vi, 115 p. ; 24 cm
シリーズ名: Panoramas et synthèses ; No 5
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7.

図書
図書
7. Rings, Hopf algebras, and Brauer groups (: pbk)
edited by Stefaan Caenepeel, Alain Verschoren
出版情報: New York : Marcel Dekker, c1998  x, 332 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 197
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8.

図書
図書
8. The inverse Galois problem, moduli spaces and mapping class groups (: pbk)
edited by Leila Schneps and Pierre Lochak
出版情報: Cambridge ; New York ; Melbourne : Cambridge University Press, 1997  ix, 347 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 243 . Geometric Galois actions ; 2
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List of participants
Abstracts of the talks
Introduction / Part I：
Abstracts / Part II：
Dessins d'enfants / Part III：
Unicellular cartography and Galois orbits of plane trees / N. Adrianov ; G. Shabat1：
Galois groups, monodromy groups and cartographical groups / G. Jones ; M. Streit2：
Drawings, triangle groups and algebraic curves / W. Harvey3：
Permutation techniques for coset representations of modular subgroups / T. Hsu4：
On groups acting on dessin-labeled objects / V. Shabat5：
Dessins d'enfants en genre 1 / L. Zapponi6：
Inverse Galois Problem / Part IV：
The regular inverse Galois problem over large fields / P. Debes ; B. Deschamps7：
The symplectic braid group and Galois realizations / K. Strambach ; H. Volklein8：
Obstructed components of A5 modular towers / M. Fried ; Y. Kopeliovic9：
Galois Actions And Mapping Class Groups / Part V：
Monodromy of iterated integrals (non-Abelian unipotent periods) / Z. Wojtkowiak10：
Deformation of singularities and mapping class groups / M. Matsumoto11：
Universal Teichmnller Theory / Part VI：
The universal Ptolemy group and its completions / R. Penner12：
Sur l'isomorphisme du groupe de Richard Thompson avec le groupe de PtolTmTe / M. Imbert ; V. Sergiescu13：
The universal Ptolemy-Teichmuller groupoid / P. Lochak ; L. Schneps14：
List of participants
Abstracts of the talks
Introduction / Part I：
9.

図書
図書
9. Cyclic cohomology and noncommutative geometry
Joachim J.R. Cuntz, Masoud Khalkhali, editors
出版情報: Providence, R.I. : American Mathematical Society, c1997  vii, 189 p. ; 27 cm
シリーズ名: Fields Institute communications ; v. 17
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Asymptotic morphisms on contact manifolds and index theory / P. N. Alwis
Noncommutative differential geometry and the structure of space time / A. Connes
Excision in periodic cyclic theory for topological algebras / J. Cuntz
A closed model structure for differential graded algebras / J. F. Jardine
Sur la K-theorie multiplicative / M. Karoubi
A survey of entire cyclic cohomology / M. Khalkhali
Overview on Leibniz algebras, dialgebras and their homology / J.-L. Loday
Straight Chern character for Witt spaces / H. Moscovici ; F.-B. Wu.
Super-connections and non-commutative geometry / V. Nistor
Spectral flow in type I and II factors-A new approach / J. Phillips
A survey of asymptotic cyclic cohomology / M. Puschnigg
The higher $\Gamma$-index for coverings of manifolds with boundaries / F.-B. Wu
Asymptotic morphisms on contact manifolds and index theory / P. N. Alwis
Noncommutative differential geometry and the structure of space time / A. Connes
Excision in periodic cyclic theory for topological algebras / J. Cuntz
10.

図書
図書
10. Advances in mathematical sciences : CRM's 25 years
Luc Vinet, editor
出版情報: Providence, RI : American Mathematical Society, 1997  x, 491 p. ; 26 cm
シリーズ名: CRM proceedings & lecture notes ; v. 11
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