Lagrangian Cobordisms in Liouville manifolds

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2021-05-31 DOI:10.1142/S1793525322500030

Valentin Bosshard

引用次数: 4

Abstract

Floer theory for Lagrangian cobordisms was developed by Biran and Cornea in a series of papers [BC13, BC14, BC17] to study the triangulated structure of the derived Fukaya category of monotone symplectic manifolds. This paper explains how to use the language of stops to study Lagrangian cobordisms in Liouville manifolds and the associated exact triangles in the derived wrapped Fukaya category. Furthermore, we compute the cobordism groups of non-compact Riemann surfaces of finite type.

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刘维尔流形中的拉格朗日协点

Lagrangian cobordiss的花理论是Biran和Cornea在一系列论文[BC13, BC14, BC17]中提出的，用于研究单调辛格流形派生的Fukaya范畴的三角化结构。本文解释了如何使用停止的语言来研究刘维尔流形中的拉格朗日协点以及派生的包裹深谷范畴中相关的精确三角形。进一步，我们计算了有限型非紧黎曼曲面的协群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.