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1.

図書

図書
Michael Atiyah
出版情報: Oxford [Oxfordshire] : Clarendon Press , New York : Oxford University Press, 1988  xxiii, 364 p. ; 26 cm
シリーズ名: Oxford science publications ; . Collected works / Michael Atiyah ; v. 1
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Early Papers
A note on the tangents of a twisted cubic
Complex fibre bundles and ruled surfaces
Formes de seconde espFce sur une variTtT algebrique
Integrals of the secon kind on an algebraic variety
On the Krull-Schmidt theorem with application to sheaves
Complex analytical connections in fibre bundles
Vector bundles over an elliptic curve
On analytical surfaces with double points
Some examples of complex manifolds
General Papers
The role of algebraic topology in mathematics
Wandel und Fortschritt in der Mathematik
How research is carried out
Global geometry
William Vallance Douglas Hodge 1903-1975
Singularities of functions
Trends in pure mathematics
The unity of mathematics
What is geometry?
An interview with Michael Atiyah
Speech on conferment of the Feltrinelli Prize
Geometry and analysis in the nineteen-eighties
Mathematics and the computer revolution: (a) Nuova civilta delle macchine, II (b) The influence of computers and informatics on mathematics and its teaching
Indentifying progress in mathematics. of mathematics
Early Papers
A note on the tangents of a twisted cubic
Complex fibre bundles and ruled surfaces
2.

図書

図書
Michael Atiyah
出版情報: Oxford [Oxfordshire] : Clarendon Press , New York : Oxford University Press, 1988, c1987  xxiii, 829 p. ; 26 cm
シリーズ名: Oxford science publications ; . Collected works / Michael Atiyah ; v. 2
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Early Papers on K-Theory / Part 3:
Riemann-Roch Theorems for Differentiable Manifolds / 24:
Quelques Theoremes de Non-Plongement pour les Varietes / 25:
On Complex Stiefel Manifolds / 26:
Bott Periodicity and the Parallelizability of the Spheres / 27:
Vector Bundles and Homogeneous Spaces / 28:
Characters and Cohomology of Finite Groups / 29:
Cohomologie-Operationen und Charakteristische Klassen / 30:
Charakteristische Klassen und Andwendungen / 31:
Immersions and Embeddings of Manifolds / 32:
Vector Bundles and the Kunneth Formula / 33:
Bordism and Cobordism / 34:
Thom Complexes / 35:
Analytic Cycles on Complex Manifolds / 36:
The Riemann-Roch Theorem for Analytic Embeddings / 37:
The Grothendieck Ring in Geometry and Topology / 38:
Clifford Modules / 39:
On the Periodicity Theorem for Complex Vector Bundles / 40:
On the K-Theory of Compact Lie Groups / 41:
K-Theory and the Hopf Invariant / 42:
K-Theory and Reality / 43:
Power Operations in K-Theory / 44:
K-Theory / 45:
Bott Periodicity and the Index of Elliptic Operators / 46:
Group Representations / 47:
Algebraic Topology of Operators in Hilbert Space / 48:
Equivariant K-Theory and Completion / 49:
Vector Fields on Manifolds / 50:
Exponential Isomorphisms for Lamda Rings / 51:
Vector Fields with Finite Singularities / 52:
Elliptic Operators and Singularities of Vector Fields / 53:
Compact Lie Groups and the Stable Homotopy of Spheres / 54:
A Survey of K-Theory / 55:
Early Papers on K-Theory / Part 3:
Riemann-Roch Theorems for Differentiable Manifolds / 24:
Quelques Theoremes de Non-Plongement pour les Varietes / 25:
3.

図書

図書
Michael Atiyah
出版情報: Oxford [Oxfordshire] : Clarendon Press , New York : Oxford University Press, 1988, c1987  2 v. ; 26 cm
シリーズ名: Oxford science publications ; . Collected works / Michael Atiyah ; v. 3-4
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Index Theory 2 / Part 5:
On the Heat Equation and the Index Theorem / 79:
Errata / 79a:
Spectral Asymmetry and Riemannian Geometry / 80:
Spectral Asymmetry and Riemannian Geometry I / 81:
Spectral Asymmetry and Riemannian Geometry II / 82:
Spectral Asymmetry and Riemannian Geometry III / 83:
Hyperbolic Differential Equations and Algebraic Geometry / 84:
Lacunas for Hyperbolic Differential Operators with Constant Coefficients I / 85:
Lacunas for Hyperbolic Differential Operators with Constant Coefficients II / 86:
Eigenvalues and Riemannian Geometry / 87:
Classical Groups and Classical Differential Operators on Manifolds / 88:
Elliptic Operators, Discrete Groups and von Neumann Algebras / 89:
A Geometric Construction of the Discrete Series of Semisimple Lie Groups / 90:
Erratum / 90a:
Characters of Semi-Simple Lie Groups / 91:
Geometry and Analysis of Shimizu L-Functions / 92:
Eta Invariants, Signature Defects of Cusps and Values of L-Functions / 93:
Signature Defects of Cusps and Values of L-Functions: The Nonsplit Case / 93a:
Index Theory 1 / Part 4:
The Index of Elliptic Operators on Compact Manifolds / 56:
The Index Problem for Manifolds with Boundary / 57:
The Index Theorem for Manifolds with Boundary / 58:
Algebraic Topology and Elliptic Operators / 59:
Global Aspects of the Theory of Elliptic Differential Operators / 60:
A Lefschetz Fixed-Point Formula for Elliptic Differential Operators / 61:
A Lefschetz Fixed-Point Formula for Elliptic Complexes I / 62:
A Lefschetz Fixed-Point Formula for Elliptic Complexes II / 63:
The Index of Elliptic Operators I / 64:
The Index of Elliptic Operators II / 65:
The Index of Elliptic Operators III / 66:
The Index of Elliptic Operators IV / 67:
The Index of Elliptic Operators V / 68:
Global Theory of Elliptic Operators / 69:
Index Theory for Skew-Adjoint Fredholm Operators / 70:
The Signature of Fibre Bundles / 71:
Topology of Elliptic Operators / 72:
Resolution of Singularities and Division of Distributions / 73:
Spin-Manifolds and Group Actions / 74:
Riemann Surfaces and Spin Structures / 75:
Vector Bundles on Projective 3-Space / 76:
The Index of Elliptic Operators / 77:
Elliptic Operators and Compact Groups / 78:
Index Theory 2 / Part 5:
On the Heat Equation and the Index Theorem / 79:
Errata / 79a:
4.

図書

図書
Michael Atiyah
出版情報: Oxford [Oxfordshire] : Clarendon Press , New York : Oxford University Press, 1988  xxiii, 685 p. ; 26 cm
シリーズ名: Oxford science publications ; . Collected works / Michael Atiyah v. 5
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目次情報: 続きを見る
Deformations of instantons
Instantons and algebraic geometry
Construction of instantons
Self-duality in four- dimensional Riemannian geometry
Geometrical aspects of gauge theories
Geometry of Yang-Mills fields
Real and complex geometry in four dimensions
Green's functions for self-dual four-manifolds
Topological aspects of Yang-Mills fields
Remarks on Morse theory
Yang-Mills and bundles over algebraic curves
The Yang-Mills equations over Riemann surfaces
Convexity and commuting Hamiltonians
Angular momentum, convex polyhedra and algebraic geometry
Convexity and loop groups
The moment map and equivariant cohomology
The moment map in symplectic geometry
Gauge theory and algebraic geometry
The Yang-Mills equations and the structure of 4-manifolds
Geometry of monopoles
Solutions of classical equations in gauge theories: fundamental interactions and rigorous results
Low-energy scattering of non-abelian monopoles
Low-energy scattering of Non-Abelian magnetic monopoles
Instantons in two and four dimensions
Magnetic monopoles in hyperbolic space
Anomalies and index theory
Dirac operators coupled to vector potentials
Topological aspects of anomalies
Commentary on Manin's manuscript New dimensions in geometry
Eigenvalues of the Dirac operator
Circular symmetry and stationary-phase approximation
Deformations of instantons
Instantons and algebraic geometry
Construction of instantons
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