光滑除子补空间中的单调拉格朗日Floer理论:II
辛几何
2022-10-31 v2 微分几何
摘要
在本系列论文的第一部分中,我们研究了到开辛流形的全纯圆盘与带状曲线模空间,该开辛流形同构于闭辛流形中光滑除子的补空间。特别地,我们引入了该模空间的一种紧化,称为RGW紧化。本文的目标是证明RGW紧化容许Kuranishi结构。这一结果为本系列论文的主要构造——光滑除子补空间中单调拉格朗日子的Floer同调——提供了关键要素。
引用
@article{arxiv.1809.03409,
title = {Monotone Lagrangian Floer theory in smooth divisor complements: II},
author = {Aliakbar Daemi and Kenji Fukaya},
journal= {arXiv preprint arXiv:1809.03409},
year = {2022}
}
备注
74 pages, 15 figures. Major revisions in the exposition of the paper following the referee's comments. In particular, part of this paper is moved into a new paper titled as "Monotone Lagrangian Floer theory in smooth divisor complements: III"