A Morse theoretic description of the Goresky-Hingston product

Arun Maiti

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arXiv · 1711.07062

A Morse theoretic description of the Goresky-Hingston product

Arun Maiti

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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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Arun Maiti. 2017-11-19. A Morse theoretic description of the Goresky-Hingston product. https://arxiv.org/abs/1711.07062

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