3 papers
math.AT2025
The Path-product in Morse Homology with differential graded coefficients
Robin Riegel
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 i…
math.AT2025
A chain-level model for Chas-Sullivan products in Morse homology with differential graded coefficients
Robin Riegel
We use the framework of Morse theory with differential graded coefficients to study certain operations on the total space of a fibration. More particularly, we focus in this paper…
math.AT2025
A Fibration Theorem and Chas-Sullivan product for Morse-Novikov Homology with differential graded coefficients
Robin Riegel
Given an oriented, closed and connected manifold X and a nonzero cohomology u H 1 (X, R), we extend the constructions of Morse Homology with differential graded coefficients…