Work

The Path-product in Morse Homology with differential graded coefficients

Year: 2026

Type: article

Abstract: We will use the tools developed in the article [5] to give a Morse-theoretical 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 [6] in singular homology.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1858

Author: Robin Riegel

Institutions: Institut de Recherche Mathématique Avancée, Université de Strasbourg

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414896483

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