A Morse theoretic description of the Goresky-Hingston product

Published 19 Nov 2017 in math.DG | (1711.07062v4)

Abstract: The Goresky-Hingston coproduct was first introduced by D. Sullivan and later extended by M. Goresky and N. Hingston. In this article we give a Morse theoretic description of the coproduct. Using the description we prove homotopy invariance property of the coproduct. We describe a connection between our Morse theoretic coproduct and a coproduct on Floer homology of cotangent bundle.

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Authors (1)

Arun Maiti

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