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

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Clifford Henry Taubes

American Mathematical Society

2000-04-15

405

USD 70.00

Hardcover

9781571460615

图书标签: 微分几何7 拓扑

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发表于2024-11-23

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

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

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.

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