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Title:
Cyclic loop bracket and pseudoholomorphic disks
Speaker:
Abstract:
I will describe a chain model of the (negative) S^1-equivariant homology of the free loop space with string topology operations, where a lift of the cyclic A-infinity algebra associated to a Lagrangian submanifold can be defined. The construction is based on previous work of Kei Irie. Applications include non-displaceability and formality of negatively curved, even-dimensional Lagrangian submanifolds in a monotone symplectic manifold.
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