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arXiv · 2508.09583

The Path-product in Morse Homology with differential graded coefficients

Robin Riegel
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Abstract

We will use the tools developed in [Rie24] to give a Morse-theoretic description of a string topology product on the homology of the space of paths in a manifold Y with endpoints in a submanifold X and a module structure on this homology over the Chas-Sullivan ring of Y . These operations have been defined and studied by Stegemeyer in [Ste25] in singular homology.

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Robin Riegel. 2025-08-13. The Path-product in Morse Homology with differential graded coefficients. https://arxiv.org/abs/2508.09583

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