Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Clifford Henry Taubes 作者

American Mathematical Society

译者

2000-04-15 出版日期

405 页数

USD 70.00 价格

Hardcover

丛书系列

9781571460615 图书编码

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Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds 在线电子书图书描述

The book contains a complete proof of the remarkable result relating the Seiberg-Witten and Gromov invariants of symplectic four manifolds. The first chapter proves that pseudo-holomorphic curves can be sonstruction from solutions to the Seiberg-Witten equations. The second chapter describes how the Gromov invariant for compact symplectic 4-manifolds assigns an integer to each dimension 2-cohomology class (or roughly speaking, counts with suitable weights, compact, pseudo-holomorphic submanifolds whose fundamental class is Poincare dual to the cohomology class in question. The third chapter continues the proof of the equivalence of Gromov invariants and the Seiberg-Witten invariants. In this chapter, a construction which associates solutions of the one-parameter family of Weiber-Witten equations to certain symplectic submanifolds in X (Pseudo-holomorphic ones.) The final chapter shows that counting for the two invariants yeilds the same answer.

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