Sasaki versus K\"ahler groups

D. Kotschick; G. Placini

doi:10.1007/s10231-024-01501-8

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arXiv · 2212.06805

Sasaki versus K\"ahler groups

D. Kotschick·G. Placini

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Abstract

We study fundamental groups of compact Sasaki manifolds and show that compared to K\"ahler 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.

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BibTeX RIS

D. Kotschick, G. Placini. 2022-12-13. Sasaki versus K\"ahler groups. https://doi.org/10.1007/s10231-024-01501-8

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