Surgery induces exact sequences in Lagrangian cobordisms
Symplectic Geometry
2018-06-19 v2 Algebraic Topology
Abstract
We prove that if L_0 and L_1 are exact branes intersecting in precisely one point, then there exists a fiber sequence in the infinity-category of Lagrangian cobordisms consisting of L_0, L_1, and a surgery of L_0 with L_1. By combining this with the exact functor from [Tan], we find analogues of results of Biran and Cornea in the wrapped and exact setting.
Cite
@article{arxiv.1805.07424,
title = {Surgery induces exact sequences in Lagrangian cobordisms},
author = {Hiro Lee Tanaka},
journal= {arXiv preprint arXiv:1805.07424},
year = {2018}
}
Comments
Minor typos fixed