Moore J.D. — Lectures on Seiberg-Witten Invariants :: Электронная библиотека попечительского совета мехмата МГУ

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Moore J.D. — Lectures on Seiberg-Witten Invariants

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Название: Lectures on Seiberg-Witten Invariants

Автор: Moore J.D.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 105

Добавлена в каталог: 18.08.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$b_{+}, b_{-}$       6 36
$b_{0}, b_{1}, b_{2}$       62 35
$c_{1}(E), c_{2}(E)$       21
$D^{+}_{A}, D^{-}_{A}$       59
$d_{A}$       9
$F^{+}_{A}$       66
$f_{a}$       18
$g_{\alpha\beta}$       4
$H^{p}(M)$       34
$H^{p}(M, R))$       16
$L^{p}_{k}(E)$       69
$M, M_{\phi}, \widetilde{M}_{\phi}$       71
$p_{1}(E)$       22
$p_{g}$       94
$Spin(4)^{c}$       41
$spin^{c}$ structure      44
$SU_{+}(2)$ , $SU_{-}(2)$       40
$W_{+}, W_{-}$       42 43
$W_{+}\otimes L$ , $W_{-}\otimes L$       44
$\chi(M)$       21 59
$\Delta$       34
$\mathcal{A}$       28 67
$\mathcal{B}$       29 69
$\mathcal{G}, \mathcal{G}_{0}$       28 68
$\mathcal{N}$       76 77
$\mathcal{S}$       66
$\mathcal{S}_{\phi}$       96
$\mathcal{Y}$       37
$\mathcal{\widetilde{B}}$       68
$\omega$       89
$\Omega^{2}_{+}(M), \Omega^{2}_{-}(M)$       36
$\Omega^{p}(M)$       15
$\rho$       40
$\rho^{c}$       41
$\sigma(\Psi)$       49
$\tau(M)$       36
Almost complex structure      45
Anticanonical bundle      46 92
Atiyah — Singer theorem      59 62
Bianchi identity      17
Canonical bundle      91
Characteristic class      20
Chern character      61
Chern class      21
Clifford algebra      47
Connected sum      84
Connection, orthogonal connection      12
Connection, pullback connection      13
Connection, spin connection      51
Connection, unitary connection      12
Connection, universal connection      13
Connection, Yang — Mills connection      37
Covariant derivative      9
Curvature, curvature of a connection      17
Curvature, Gaussian curvature      18
Curvature, Riemann — Christoffel curvature      53
Curvature, scalar curvature      53
De Rham cohomology      16
Dirac operator      55 58
Dolgachev surface      100
Donaldson’s theorem      85

Eilenberg — MacLane space      26
Elliptic bootstrapping      73
Elliptic complex      36
Faraday tensor      32
Fredholm map      74
Gauge transformation      28 68
Geometric genus      94
Harmonic form      34
Hermitian metric      7 45
Hirzebruch signature theorem      63
Hodge star      33
Hodge’s theorem      35
Holonomy      31
INDEX      59 74
Instanton      37
Intersection form      82
j      46
K3 surface      83
Kaehler form      90
Kaehler manifold      90
Laplace operator, Hodge Laplacian      34
Laplace operator, vector bundle Laplacian      56
Lichnerowicz’s theorem      60
Line bundle, complex line bundle      5 8
Line bundle, determinant line bundle      79
Line bundle, quaternionic line bundle      8
Maxwell’s equations      32
Moduli space      71
Orientation      79
Parallel transport      15
Pauli matrices      42
PI      37
Poincare duality      35
Poisson’s equation      35
Pontrjagin class      22
q      82
Quaternion      5
Regular value      74
Rellich’s theorem      70
Riemann — Roch theorem      94
Rochlin’s Theorem      60
Sard — Smale theorem      75
Seiberg — Witten equations      66
Seiberg — Witten invariant      88
Self-dual      36
Signature      36 63
Sobolev embedding theorem      70
Sobolev space      70
Spin manifold      43
Spin structure      43
Spin(4)      40
Spinor field      45
Thom conjecture      2
Transversality Theorems      76 81
Unimodular form      82
Unique continuation theorem      75
Universal bundle      13 23
Vector bundle      4
Virtual vector bundle      45
Weitzenboeck’s formula      56
Witten Theorems      88 95
Yang — Mills functional      37

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