Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866916515625828352 |
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| author | Kasprowski, Daniel Powell, Mark Ruppik, Benjamin |
| author_facet | Kasprowski, Daniel Powell, Mark Ruppik, Benjamin |
| contents | We show that for an oriented 4-dimensional Poincaré complex with finite fundamental group, whose 2-Sylow subgroup is abelian with at most 2 generators, the homotopy type is determined by its quadratic 2-type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_00274 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups Kasprowski, Daniel Powell, Mark Ruppik, Benjamin Geometric Topology Algebraic Topology 57K40, 57N65, 57P10, 55Q15 We show that for an oriented 4-dimensional Poincaré complex with finite fundamental group, whose 2-Sylow subgroup is abelian with at most 2 generators, the homotopy type is determined by its quadratic 2-type. |
| title | Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups |
| topic | Geometric Topology Algebraic Topology 57K40, 57N65, 57P10, 55Q15 |
| url | https://arxiv.org/abs/2005.00274 |