The Path-product in Morse Homology with differential graded coefficients
Algebraic Topology
2025-12-17 v2 Differential Geometry
Geometric Topology
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2508.09583,
title = {The Path-product in Morse Homology with differential graded coefficients},
author = {Robin Riegel},
journal= {arXiv preprint arXiv:2508.09583},
year = {2025}
}