Fukaya-Seidel 范畴与规范场论
辛几何
2015-04-30 v4 高能物理 - 理论
微分几何
几何拓扑
摘要
给定辛流形上的 J-全纯 Morse 函数，本文概述了 Fukaya-Seidel 范畴的一种新构造。将该构造应用于无穷维情形，可关联一个光滑三维流形上的 Fukaya-Seidel 型范畴。在此情形下，该构造基于五维规范场论。
引用
@article{arxiv.1010.2353,
title = {Fukaya-Seidel category and gauge theory},
author = {Andriy Haydys},
journal= {arXiv preprint arXiv:1010.2353},
year = {2015}
}
备注
v4: This is a significantly expended version. A priori estimates and compactness are added. Some conventions are changed. v3:minor corrections, exposition somewhat changed