Exact Lagrangians in the cotangent bundle of a sphere and a torus
Symplectic Geometry
2022-11-30 v1
Abstract
It is known that any closed, exact Lagrangian in the cotangent bundle of a closed, smooth manifold is of the same homotopy type as the zero section. In this paper, we give a Fukaya-theoretic proof of this fact for the sphere and torus to review and demonstrate some of the homological algebra techniques in symplectic geometry.
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Cite
@article{arxiv.2211.15802,
title = {Exact Lagrangians in the cotangent bundle of a sphere and a torus},
author = {Raunak Kundagrami},
journal= {arXiv preprint arXiv:2211.15802},
year = {2022}
}
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22 pages