Friedman R., Morgan J.W. — Smooth four-manifolds and complex surfaces :: Электронная библиотека попечительского совета мехмата МГУ

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Friedman R., Morgan J.W. — Smooth four-manifolds and complex surfaces

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Название: Smooth four-manifolds and complex surfaces

Авторы: Friedman R., Morgan J.W.

Аннотация:

This book applies the recent techniques of gauge theory to study the smooth classification of compact complex surfaces. The study is divided into four main areas: Classical complex surface theory, gauge theory and Donaldson invariants, deformations of holomorphic vector bundles, and explicit calculations for elliptic sur§ faces. The book represents a marriage of the techniques of algebraic geometry and 4-manifold topology and gives a detailed exposition of some of the main themes in this very active area of current research.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 528

Добавлена в каталог: 05.02.2014

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Предметный указатель

Sym* V, the symmetric algebra on V      395
T(S), set of elliptic surfaces locally isomorphic to S and with the same basic elliptic surface      102
Tate — Shafarevich group, analytic      16 75—82
Taubes' gluing theorem      228 247 253 254 259
Taubes, C.      240 255 259 338
Theta divisor      444 486 489
Theta function      345
Theta-characteristic      341—346 352 354 461 477 480 481
Theta-characteristic, nontrivial      444 469 477 484 485
Thickened completion      see "Completion of the moduli space thickened"
Thurston, W.      1
Triangle group      149—154 217
Type VII      see "Surface Type
Tyurin, A.      498
Tyurina, G.      32
Ue's theorem      5 138 159
Uhlenbeck compactification      244 339 346
Uhlenbeck limit      256 275 348 436—438
Uhlenbeck — Yau theorem      324
Uhlenbeck's removable singularity theorem      242
Uhlenbeck's weak compactness theorem      228 239 240 246 247 370 434
Universal bundle      302 303 308 334—337 342—344 364 365 459—461 481 482 487 490
Universal elliptic curve      37—42 124

Universal SO(3)-bundle      227 232 233 246 331 379
Unobstructed      see "Deformation unobstructed"
Unstable point      359—361
Upper half plane      36
Van de Ven, A.      5 498
Vanishing arcs      166—171 183 184
Vanishing cycle      55 167—170 182 183
Vanishing disk      167 183 184 188 189 190
W(C,P), subset of $\widehat{\mathcal{A}}(P)$ with bounds on curvature      239 240
Wall, C.T.C.      192 194
Weak compactness      see "Uhlenbeck's weak compactness theorem"
Weaker version of the ASD equations      228 247 255
Wehler, J.      133
Weierstrass model      16 56—60 62 163 164
Wood, J.      410
X(P,g), Uhlenbeck compactification of the moduli space      244
Y(P,g), set of points of X(P,g) whose associated measure does not have support at p      246
Yang — Mills equations      3
Yang — Mills functional      236
Yau, S.T.      31
Zariski tangent space      237 324 355
Zariski's main theorem      461
Zariski's theorem on minimal models      21

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