Lagrangian torus invariants using $ECH = SWF$

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2019-10-08 DOI:10.4310/jsg.2021.v19.n4.a3

Chris Gerig

引用次数: 0

Abstract

We construct distinguished elements in the embedded contact homology (and monopole Floer homology) of a 3-torus, associated with Lagrangian tori in symplectic 4-manifolds and their isotopy classes. They turn out not to be new invariants, instead they repackage the Gromov (and Seiberg-Witten) invariants of various torus surgeries. We then recover a result of Morgan-Mrowka-Szabo on product formulas for the Seiberg-Witten invariants along 3-tori.

查看原文本刊更多论文

使用$ECH = SWF$的拉格朗日环面不变量

我们构造了与辛4流形及其同位素类中的拉格朗日环面相关的3环面的嵌入接触同调(和单极子花同调)中的区分元素。它们不是新的不变量，而是重新包装了各种环体手术的Gromov(和Seiberg-Witten)不变量。然后，我们恢复了沿3环面Seiberg-Witten不变量乘积公式的Morgan-Mrowka-Szabo结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.