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1.

図書

図書
Nikolai Saveliev
出版情報: Berlin ; Tokyo : Springer, c2002  xii, 223 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 140 . Low-dimensional topology / R.V. Gamkrelidze, V.A. Vassiliev (eds.) ; 1
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目次情報: 続きを見る
Homology 3-Spheres / 1:
Integral Homology 3 Spheres / 1.1:
Homotopy 3-Spheres / 1.1.1:
Poincaré Homology Sphere / 1.1.2:
Brieskorn Homology Spheres / 1.1.3:
Seifert Fibered Homology Spheres / 1.1.4:
Dehn Surgery on Knots / 1.1.5:
Surgery on Links / 1.1.6:
Connected Sums and Splicing / 1.1.7:
Splice Decomposition / 1.1.8:
Plumbing / 1.1.9:
Links of Singularities / 1.1.10:
Mutations / 1.1.11:
Branched Covers / 1.1.12:
Heegaard Splittings of Homology Spheres / 1.1.13:
Rational Homology Spheres / 1.2:
Spherical Space Forms / 1.2.1:
Dehn Surgery / 1.2.2:
Seifert Fibered Manifolds / 1.2.3:
Rokhlin Invariant / 1.2.4:
The Rokhlin Theorem / 2.1:
Definition of the Rokhlin Invariant / 2.2:
Properties of the Rokhlin Invariant / 2.3:
Surgery Formula for the Rokhlin Invariant / 2.3.1:
Surgery on Algebraically Split Links / 2.3.2:
Splicing and Mutation / 2.3.3:
Rokhlin Invariant of Branched Coverings / 2.3.4:
Birman-Craggs Homomorphisms / 2.3.5:
Homology Cobordism Invariance / 2.3.6:
Seifert Fibered and Graph Homology Spheres / 2.4:
The Algorithm / 2.4.1:
The Formula / 2.4.2:
Casson Invariant / 3:
Definition of the Casson Invariant / 3.1:
Construction of the Casson Invariant / 3.2:
SU(2)-Represcntation Spaces / 3.2.1:
The Intersection Theory / 3.2.2:
Orientations / 3.2.3:
Independence of Heegaard Splitting / 3.2.4:
Casson Invariant for Knots and Property (1) / 3.2.5:
The Difference Cycle / 3.2.6:
Casson Invariant for Boundary Links and Property (2) / 3.2.7:
Casson Invariant of a Trefoil and Property (0) / 3.2.8:
Comments and Ramifications / 3.3:
Pillowcase / 3.3.1:
Perturbations / 3.3.2:
The Connected Sum Formula / 3.3.3:
The Integrality of λ(Σ) / 3.3.4:
Casson Invariant of Algebraically Split Links / 3.3.5:
Properties of the Casson Invariant / 3.4:
Splicing Additivity / 3.4.1:
Mutation Invariance / 3.4.2:
Casson Invariant of Branched Coverings / 3.4.3:
Casson Invariant of Fibered Knots / 3.4.4:
Finite Type Invariants / 3.4.5:
Further Properties of the Casson Invariant / 3.4.6:
Casson Invariant of Σ(p, q, r) / 3.5:
Casson Invariant of Σ(a1, …, an) / 3.5.2:
The Neumann-Wahl Conjecture / 3.5.3:
Applications of the Casson Invariant / 3.6:
Triangulating Topological 4-Manifolds / 3.6.1:
Arnphicheiral Homology Spheres / 3.6.2:
Property P for Knots / 3.6.3:
Invariants of Walker and Lescop / 4:
Definition of the Walker Invariant / 4.1:
Construction of the Walker Invariant / 4.2:
SU(2)-Representation Varieties / 4.2.1:
The Surgery Formula / 4.2.2:
Combinatorial Definition of the Walker Invariant / 4.2.4:
The Lescop Invariant / 4.3:
Properties of the Walker and Lescop Invariants / 4.4:
The Gluing Formula / 4.4.1:
Casson Type Invariants from Other Lie Groups / 4.4.2:
Casson Invariant and Gauge Theory / 5:
Gauge Theory in Dimension 3 / 5.1:
Chern-Simons Function / 5.2:
The Casson Invariant from Gauge Theory / 5.3:
Morse Theory and Euler Characteristic / 5.3.1:
Critical Points of cs and Spectral Flow / 5.3.2:
Non-degenerate Case / 5.3.3:
Morse type Perturbations / 5.3.4:
Casson Invariant and Seiberg-Witten Equations / 5.3.6:
Casson-type Invariants of Knots / 5.4:
Representation Varieties of Knot Groups / 5.4.1:
The Invariants / 5.4.2:
Equivariant Casson Invariant / 5.5:
Equivariant Gauge Theory / 5.5.1:
Definition of the Invariants / 5.5.2:
Equivariant Casson and Knot Signatures / 5.5.3:
Applications / 5.5.4:
The SU(3) Casson Invariant / 5.6:
Some SU(3)-Gauge Theory / 5.6.1:
Definition of the Invariant / 5.6.2:
Properties and Computations / 5.6.3:
Instanton Floer Homology / 6:
Gauge Theory in Dimension 4 / 6.1:
Gauge Theory on Closed 4-Manifolds / 6.1.1:
Gauge Theory on Open 4-Manifolds / 6.1.2:
Linear Analysis / 6.1.3:
Non-linear Analysis / 6.1.4:
Definition of the Floer Homology / 6.2:
Review of the Morse Theory / 6.2.1:
Floer Homology of Integral Homology Spheres / 6.2.2:
Functoriality with Respect to Cobordisms / 6.2.3:
Spectral Flow Formulas / 6.3:
The Atiyah-Patodi-Singer Formula / 6.3.1:
The Splitting Formula / 6.3.2:
The Kirk-Klassen Formula / 6.3.3:
The Closed Form Formula / 6.4:
Graph Homology Spheres / 6.4.3:
Properties of the Floer Homology / 6.5:
Orientation Reversal / 6.5.1:
Floer Homology of Homology Handles / 6.5.2:
The Floer Exact Triangle / 6.5.3:
Special Boundary Maps / 6.5.4:
The u-map in Floer Homology / 6.5.5:
Integer Graded Floer Homology / 6.5.6:
Floer Homology of Connected Sums / 6.5.7:
Functoriality with Respect to Diffeornorphisms / 6.5.8:
Floer Homology in Donaldson Theory / 6.5.9:
Donaldson Invariants of Closed 4-Manifolds / 6.6.1:
Relative Donaldson Polynomials / 6.6.2:
Extending Floer Homology / 6.6.3:
Equivariant Floer Homology / 6.7.1:
Fukaya-Floer Homology / 6.7.2:
Floer's Category and Functor / 6.7.3:
The Atiyah-Floer Conjecture / 6.7.4:
Floer Homology of Knots / 6.7.5:
Seiberg-Witten Floer Homology / 6.7.6:
The Homology Cobordism Group / 7:
Homology Cobordisms / 7.1:
Mazur Homology Spheres / 7.1.1:
Knot Cobordisms and Homology Cobordisms / 7.1.2:
Ribbon Concordances and Ribbon Knots / 7.1.3:
Branched Coverings / 7.1.4:
The Structure of <$>\Theta_{\op Z}^3<$> / 7.2:
A Classical Approach to <$>\Theta_{\op Z}^3<$> / 7.2.1:
Infinite Order Elements in <$>\Theta_{\op Z}^3<$> / 7.2.2:
The <$>\bar \mu<$>-Invariant / 7.2.3:
The Fukumoto-Furuta Invariants / 7.2.4:
The Group <$>\Theta_{\op Z}^3<$> is Infinitely Generated / 7.2.5:
Applications of the Homology Cobordism Group / 7.3:
Triangulating Topological Manifolds / 7.3.1:
Knot Concordance Group / 7.3.2:
PL-discs in Contractible 4-Manifolds / 7.3.3:
Constructing Smooth Manifolds / 7.3.4:
References
Index
Homology 3-Spheres / 1:
Integral Homology 3 Spheres / 1.1:
Homotopy 3-Spheres / 1.1.1:
2.

図書

図書
[ответственный редактор Р.В. Гамкрелидзе]
出版情報: Москва : [ВИНИТИ], 1965  v. ; 22 cm
シリーズ名: Итоги науки
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3.

図書

図書
[ответственный редактор Р.В. Гамкрелидзе]
出版情報: Москва : ВИНИТИ, 1962  222 p. ; 23 cm
シリーズ名: Итоги науки
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4.

図書

図書
[ответственный редактор выпуска, Р.В. Гамкрелидзе]
出版情報: Москва : [б.и.], 1965-  v. ; 22 cm
シリーズ名: Итоги науки ; Серия, Математика
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5.

図書

図書
[ответственный редактор Р.В. Гамкрелидзе]
出版情報: Москва : Винити, 1964  209 p. ; 22 cm
シリーズ名: Итоги науки
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6.

図書

図書
R.V. Gamkrelidze ; translated from Russian by Karol Makowski ; translation editor, Leonard D. Berkovitz
出版情報: New York : Plenum Press, c1978  xii, 175 p. ; 24 cm
シリーズ名: Mathematical concepts and methods in science and engineering ; 7
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7.

図書

図書
L.S. Pontryagin ; edited by R.V. Gamkrelidze
出版情報: New York ; Tokyo : Gordon and Breach Science Publishers, c1986  xx, 618 p. ; 24 cm
シリーズ名: Classics of Soviet mathematics ; . L.S. Pontryagin selected works / edited by R.V. Gamkrelidze ; v. 1
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8.

図書

図書
translated from the Russian by P.S.V. Naidu
出版情報: New York ; Tokyo : Gordon and Breach Science Publishers, c1986  xxii, 252 p. ; 24 cm
シリーズ名: Classics of Soviet mathematics ; . L.S. Pontryagin selected works / edited by R.V. Gamkrelidze ; v. 3
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9.

図書

図書
L.S. Pontryagin ... [et al.] ; translated from the Russian by K.N. Trirogoff ; English edition edited by L.W. Neustadt
出版情報: New York ; Tokyo : Gordon and Breach Science Publishers, c1986  xxiii, 360 p. ; 24 cm
シリーズ名: Classics of Soviet mathematics ; . L.S. Pontryagin selected works / edited by R.V. Gamkrelidze ; v. 4
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10.

図書

図書
R.V. Gamkrelidze (ed.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1989  238 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 13 . Analysis ; 1
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