拉格朗日配边与 Fukaya 范畴
辛几何
2018-08-28 v3 几何拓扑
摘要
给定一个辛流形 ，我们考虑一个范畴，其对象为 的拉格朗日子流形的有限有序族（受某些附加约束），其态射为联系它们的拉格朗日配边。我们构造了一个函子，将该范畴映射到 的导出 Fukaya 范畴的一个变体，且该映射方式考虑了后者的三角结构。
引用
@article{arxiv.1304.6032,
title = {Lagrangian Cobordism and Fukaya Categories},
author = {Paul Biran and Octav Cornea},
journal= {arXiv preprint arXiv:1304.6032},
year = {2018}
}
备注
103 pages; subsection 4.3.2 (which was introduced in version 2) is revised with more details and corrected versions of the technical Lemma 4.3.3 and Corollary 4.3.4; statements and formulas unchanged in the rest of the paper (see Remark 4.3.5 for details)