Triple-cup product forms of 3-manifolds and Heegaard diagrams
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866910131834322944 |
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| author | Kayali, Maya |
| author_facet | Kayali, Maya |
| contents | The triple-cup product form $μ$ is a classical invariant of $3$-manifolds, determining the cohomology ring up to torsion. Given a closed, connected, oriented $3$-manifold $M$, we describe an explicit formula for computing $μ$ from a Heegaard diagram of $M$. Then, we show that the triple-cup product form $μ$ can be recovered as a reduction of Turaev's homotopy intersection form $η$ of the Heegaard surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13999 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Triple-cup product forms of 3-manifolds and Heegaard diagrams Kayali, Maya Geometric Topology The triple-cup product form $μ$ is a classical invariant of $3$-manifolds, determining the cohomology ring up to torsion. Given a closed, connected, oriented $3$-manifold $M$, we describe an explicit formula for computing $μ$ from a Heegaard diagram of $M$. Then, we show that the triple-cup product form $μ$ can be recovered as a reduction of Turaev's homotopy intersection form $η$ of the Heegaard surface. |
| title | Triple-cup product forms of 3-manifolds and Heegaard diagrams |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2604.13999 |