Polyhedral products associated to pseudomanifolds
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912410117341184 |
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| author | Stanton, Lewis Theriault, Stephen |
| author_facet | Stanton, Lewis Theriault, Stephen |
| contents | We study the homotopy theory of polyhedral products associated to a combinatorial generalisation of manifolds known as pseudomanifolds. As special cases, we show that loop spaces of moment-angle manifolds associated to triangulations of $S^2$ and $S^3$ decompose as a product of spheres and loops on spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04116 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polyhedral products associated to pseudomanifolds Stanton, Lewis Theriault, Stephen Algebraic Topology Primary 55P35, 57S12, Secondary 05E45 We study the homotopy theory of polyhedral products associated to a combinatorial generalisation of manifolds known as pseudomanifolds. As special cases, we show that loop spaces of moment-angle manifolds associated to triangulations of $S^2$ and $S^3$ decompose as a product of spheres and loops on spheres. |
| title | Polyhedral products associated to pseudomanifolds |
| topic | Algebraic Topology Primary 55P35, 57S12, Secondary 05E45 |
| url | https://arxiv.org/abs/2412.04116 |