|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Dupont J.L. — Curvature and Characteristic Classes |
|
|
|
| Предметный указатель |
Absolute neighbourhood rectract (ANR) 73
Adjoint representation 44
Alexander-Whitney map 31
Approximation to the diagonal 30
Barycentric coordinates 3
Base space of principal G-bundle 39
Bianchi identity 49
Bundle isomorphism 40
Bundle map 40
Canonical connection 94
Canonical line bundle 99
Canonical orientation of  102
Chain, complex  8 23
Chain, complex with support 9
Chain, equivalence 10
Chain, homotopy 9
Chain, map 9
Characteristic class 63 71
Chern classes 68 97
Chern polynomials,  68
Chern — Weil homomorphism 63
Chern — Weil homomorphism for BG 94
Classifying space 71
Closed differential form 4
Cochain 8
Cochain, complex  8 23
Cochain, complex , with support 9
Cocycle condition 40
Complex (of modules) 12
Complex Chern — Weil homomorphism 65
Complex line bundle 99
Complex projective space 99
Complexification of a Lie group 134
Complexification of a vector bundle 104
Connection 38 46
Connection in a simplicial G-bundle 94
Continuous functor 78
Continuous natural transformation 87
Covariant derivative 58
Covariant, differential 58
Cup-product 20 30
Curvature form 49 94
De Rham cohomology 4
de Rham cohomology, complex 2
de Rham's theore for a simplicial manifold 92
de Rham's theore for a simplicial set (= Whitney's theorem) 23
de Rham's theorem 11
Degeneracy operator  21
Derivation 36
Differentiable simplicial map 89
Differential form 1
Differential form on a simplicial manifold 91
Differential form on a simplicial set 22
Differential form with values in a vector space 43
Differential in a chain complex 12
Differential's in a double complex 12
distribution 52
Double complex 12
Double complex, associated to a covering 15 17
Double simplicial set 83
Edge-homomorphism 14
Elementary form  25
Equivariant differential form 48
Equivariant map 39
Euler class 05 108
Euler — Poincare characteristic 10
Exact differential form 4
Excision property 9
Extension of a G-bundle 42
Exterior differential 1 44 91
Exterior product  1 44 91
Face map  6
Face operator  7 21
Fat realization 75
Fibre bundle 42
Fibre bundle of principal G-bundle 39
filling 146 163
Flat bundle 144
Flat connection 47 51
Foliation 52
Frame bundle 38
Free G-action 72
Fundamental class 111
Gauss — Bonnet formula 112
Geodesic simplex 150
Geodesically convex 11
Geometric realization 75
Graded commutative 1
Group cohomology 145
Hirzebruch proportionality principle 161
Homotopy of  maps 9
Homotopy of simplicial maps 35
| Homotopy property 9
Hopf bundle 99
Hopf's formula 109
Horizontal differential form 48
Horizontal tangent vectors 38 46
Induced bundle (= "pull-back") 41
Induced differential form 2
Integration 6 112
Integration along a manifold 22
Integration map, I 10 23 92
Integration operators,  4 7
Invariant differential form 48
Invariant polynomial 62
Jordan-decomposition 135
Levi-Civita connection 56
Local index of vector field 109
Local trivialization 40 42
Maurer — Cartan connection 47
Maximal torus 115
Natural transformation 10
Nerve 77
Nerve of a covering,  79
Nilpotent element 135
Normal cochain 35
Normal neighbourhood 11
Normal simplicial k-form 36
Oriented vector bundle 108
Orthonormal frame bundle 43
Parallel translation 38
Pfaffian polynomial 66
Poincare's lemma 4
Poincare's upper halfplane 161
Polarization 62
Polynomial form 37
Polynomial function 62
Pontrjagin classes 66 103
Pontrjagin polynomials 66
Positive root 137
Principal  -covering 159
Principal G-bundle 39
Rational differential form 37
Realification 106
Reduction of a G-bundle 42
Regular element 128
Relative Euler class 108
Root 137
Root space decomposition 126
Semi-simple element 135
Simplicial chain complex 23
Simplicial cochain complex 23
Simplicial de Rham complex 20 91
Simplicial form 22
Simplicial G-bundle 93
Simplicial homotopy 35
Simplicial manifold 89
Simplicial map 21
Simplicial set 21
Simplicial space 75
Singular boundary operator 8
Singular chain 8
Singular coboundary operator 8
Singular cochain 8
Singular cohomology 8
Singular element in a L i e algebra 42
Singular homology 8
Singular simplex 7
Skew-Hermitian matrix 68
Standard simplex 3
Star-shaped set 4
Stoke's theorem 6
Strongly free G-action 72
Structural equation 49
Symmetric algebra 69
Symmetric multilinear function 61
Symmetric power 69
Symplectic group 52
Tensor algebra 68
Tensor property 1
Thom class 108
Topological category 77
Topological principal G-bundle 71
Torsion-form 55
Torus 117
Total Chern class 99
Total complex 12
Total Pontrjagin class 104
Total space of principal G-bundle 39
Transition functions 40
Trivial bundle 40
Vertical tangent vectors 45
Weyl group 115
Whitney duality formula 100 105 110
Whitney sum 98
|
|
|
| Реклама |
|
|
|
|
|
О проекте