A cotangent fibre generates the Fukaya category

作者：Abouzaid Mohammed^*

来源：Advances in Mathematics, 2011, 228(2): 894-939.

DOI：10.1016/j.aim.2011.06.007

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

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.

• 出版日期2011-10-1