Poincare duality for loop spaces

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Kai Cieliebak, Universität Augsburg and IAS
IAS - Simonyi Hall Seminar Room SH-101

In-Person and Online Talk 

This talk is about ongoing joint work with Nancy Hingston and Alexandru Oancea. I will explain how various puzzles in string topology get resolved in terms of symplectic geometry: Loop space homology and cohomology are merged into a larger space, Rabinowitz Floer homology, which carries a product and coproduct extending those from string topology and satisfies Poincare duality.