Lagrangian Cobordisms in Liouville manifolds
Symplectic Geometry
2022-03-22 v2
Abstract
Floer theory for Lagrangian cobordisms was developed by Biran and Cornea 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.
Keywords
Cite
@article{arxiv.2105.14821,
title = {Lagrangian Cobordisms in Liouville manifolds},
author = {Valentin Bosshard},
journal= {arXiv preprint arXiv:2105.14821},
year = {2022}
}
Comments
43 pages, 12 figures, new subsections 5.3, 5.4