On Kahler extensions of abelian groups

Corey Bregman; Letao Zhang

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arXiv · 1611.09343

On Kahler extensions of abelian groups

Corey Bregman·Letao Zhang

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Abstract

We show that any Kahler extension of a finitely generated abelian group by a surface group of genus g at least 2 is virtually a product. Conversely, we prove that any homomorphism of an even rank, finitely generated abelian group into the genus g mapping class group with finite image gives rise to a Kahler extension. The main tools come from surface topology and known restrictions on Kahler groups.

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BibTeX RIS

Corey Bregman, Letao Zhang. 2016-11-28. On Kahler extensions of abelian groups. https://arxiv.org/abs/1611.09343

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