The Path-product in Morse Homology with differential graded coefficients
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917148033548288 |
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| author | Riegel, Robin |
| author_facet | Riegel, Robin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09583 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Path-product in Morse Homology with differential graded coefficients Riegel, Robin Algebraic Topology Differential Geometry Geometric Topology Symplectic Geometry 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. |
| title | The Path-product in Morse Homology with differential graded coefficients |
| topic | Algebraic Topology Differential Geometry Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2508.09583 |