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A cotangent fibre generates the Fukaya category (1003.4449v5)

Published 23 Mar 2010 in math.SG and math.AT

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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