2022•arXiv (Cornell University)Open access
Exact Lagrangians in the cotangent bundle of a sphere and a torus
Raunak Kundagrami
Open full text 0 citations
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.
Open-access reader