Secondary coproducts in Morse and Floer homology

Secondary coproducts in Morse and Floer homology

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Kai Cieliebak, University of Augsburg

Zoom link:  :  https://umontreal.zoom.us/j/94366166514?pwd=OHBWcGluUmJwMFJyd2IwS1ROZ0FJdz09    

This talk is about joint work with Nancy Hingston and Alexandru Oancea. We describe various secondary coproducts on the Floer homology of a cotangent bundle and show that, under Viterbo's isomorphism, they all correspond to the Goresky-Hingston coproduct on loop space homology. The proof uses compactified moduli spaces of punctured holomorphic annuli.