Supersymmetry and Equivariant de Rham TheorySpringer Science & Business Media, 4 мая 1999 г. - Всего страниц: 228 Equivariant cohomology on smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. Brüning and V.W. Guillemin. The point of departure are two relatively short but very remarkable papers be Henry Cartan, published in 1950 in the Proceedings of the "Colloque de Topologie". These papers are reproduced here, together with a modern introduction to the subject, written by two of the leading experts in the field. This "introduction" comes as a textbook of its own, though, presenting the first full treatment of equivariant cohomology in the de Rahm setting. The well known topological approach is linked with the differential form aspect through the equivariant de Rahm theorem. The systematic use of supersymmetry simplifies considerably the ensuing development of the basic technical tools which are then applied to a variety of subjects, leading up to the localization theorems and other very recent results. |
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II | 5 |
V | 9 |
VI | 10 |
VII | 13 |
X | 15 |
XI | 21 |
XII | 23 |
XIII | 24 |
LXX | 102 |
LXXI | 103 |
LXXII | 104 |
LXXIV | 105 |
LXXVI | 107 |
LXXVIII | 108 |
LXXIX | 109 |
LXXX | 110 |
XV | 27 |
XVI | 30 |
XVII | 31 |
XVIII | 32 |
XIX | 35 |
XX | 37 |
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XXX | 52 |
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XXXVIII | 63 |
XXXIX | 65 |
XLII | 70 |
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L | 76 |
LI | 79 |
LII | 81 |
LV | 82 |
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LIX | 85 |
LX | 89 |
LXI | 92 |
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LXVI | 100 |
LXVIII | 101 |
LXXXI | 112 |
LXXXII | 115 |
LXXXV | 116 |
LXXXVI | 118 |
LXXXVII | 119 |
LXXXVIII | 120 |
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XC | 124 |
XCI | 125 |
XCII | 128 |
XCIII | 130 |
XCIV | 134 |
XCV | 136 |
XCVI | 138 |
XCVII | 139 |
XCVIII | 142 |
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C | 147 |
CI | 149 |
CII | 153 |
CIV | 154 |
CV | 158 |
CVI | 160 |
CVIII | 162 |
CIX | 163 |
CXI | 164 |
CXII | 167 |
CXIII | 172 |
CXIV | 177 |
CXVI | 179 |
CXVIII | 180 |
CXIX | 183 |
CXX | 184 |
CXXII | 187 |
CXXIII | 189 |
CXXIV | 195 |
CXXV | 209 |
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Другие издания - Просмотреть все
Supersymmetry and Equivariant de Rham Theory Victor W Guillemin,Shlomo Sternberg Ограниченный просмотр - 2013 |
Supersymmetry and Equivariant de Rham Theory Victor W Guillemin,Shlomo Sternberg Недоступно для просмотра - 2010 |
Supersymmetry and Equivariant de Rham Theory Victor W. Bruning Jochen Guillemin,Shlomo Sternberg Недоступно для просмотра - 2014 |
Часто встречающиеся слова и выражения
action of G acts freely acyclic adjoint algèbre antidérivation basis Bibliographical Notes canonique Cartan model chain homotopy characteristic classes Chern classes coadjoint coadjoint orbit cohomology ring commutative connexion d'une defined définie definition degré denote différentielle double complex E₁ element éléments equations equivariant cohomology equivariant de Rham equivariantly formal espace fibré Euler class exact sequence fiber fibration finite formula Fourier transform G acts G-equivariant G-invariant G-manifold graduée groupe G Hamiltonian hence HG(A HG(M homomorphism homotopy induces integral invariant isomorphism Koszul l'algèbre de cohomologie l'application l'espace l'homomorphisme Lemma Lie algebra linear localization theorem manifold Mathai-Quillen module moment map morphism Notes for Chapter polynomial principal bundle Proof prove quotient restriction map s'identifie satisfies sous-algèbre sous-espace spectral sequence structure subgroup superalgebra symplectic form théorème Thom class Thom form topological transgression vector bundle vector field vector space
Ссылки на эту книгу
General Theory of Lie Groupoids and Lie Algebroids Kirill C. H. Mackenzie Недоступно для просмотра - 2005 |