Sasaki versus Kähler groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913778670501888 |
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| author | Kotschick, D. Placini, G. |
| author_facet | Kotschick, D. Placini, G. |
| contents | We study fundamental groups of compact Sasaki manifolds and show that compared to Kähler groups, they exhibit rather different behaviour. This class of groups is not closed under taking direct products, and there is often an upper bound on the dimension of a Sasaki manifold realising a given group. The richest class of Sasaki groups arises in dimension 5. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_06805 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Sasaki versus Kähler groups Kotschick, D. Placini, G. Differential Geometry Algebraic Geometry Group Theory Geometric Topology 53C25 (Primary) 57K50, 57R17 (Secondary) We study fundamental groups of compact Sasaki manifolds and show that compared to Kähler groups, they exhibit rather different behaviour. This class of groups is not closed under taking direct products, and there is often an upper bound on the dimension of a Sasaki manifold realising a given group. The richest class of Sasaki groups arises in dimension 5. |
| title | Sasaki versus Kähler groups |
| topic | Differential Geometry Algebraic Geometry Group Theory Geometric Topology 53C25 (Primary) 57K50, 57R17 (Secondary) |
| url | https://arxiv.org/abs/2212.06805 |