On the Wrapped Fukaya Category and Based Loops
نویسندگان
چکیده
Given an exact Lagrangian embedding Q ⊂ M , we construct an A∞ restriction functor from the wrapped Fukaya category of M to the category of modules on the differential graded algebra of chains over the based loop space of Q. If M is the cotangent bundle of Q, this functor induces an A∞ equivalence between the wrapped Floer cohomology of a cotangent fibre and the chains over the based loop space of Q, extending a result proved by Abbondandolo and Schwarz at the level of homology.
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