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arXiv · 1003.4449

A cotangent fibre generates the Fukaya category

Mohammed Abouzaid
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Abstract

We prove that the algebra of chains on the based loop space recovers the derived (wrapped) Fukaya category of the cotangent bundle of a closed smooth orientable manifold. The main new idea is the proof that a cotangent fibre generates the Fukaya category using a version of the map from symplectic cohomology to the homology of the free loop space introduced by Cieliebak and Latschev.

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Mohammed Abouzaid. 2010-03-23. A cotangent fibre generates the Fukaya category. https://arxiv.org/abs/1003.4449

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