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arXiv · 2211.15802

Exact Lagrangians in the cotangent bundle of a sphere and a torus

Raunak Kundagrami
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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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Raunak Kundagrami. 2022-11-28. Exact Lagrangians in the cotangent bundle of a sphere and a torus. https://arxiv.org/abs/2211.15802

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