A cotangent fibre generates the Fukaya category

  • Abouzaid M
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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 oriented 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. © 2011 Elsevier Inc.

Author-supplied keywords

  • Cotangent bundle
  • Fukaya category
  • Hochschild homology
  • Symplectic homology

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Authors

  • Mohammed Abouzaid

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