Orbifold Kähler Groups related to Mapping Class groups

Philippe Eyssidieux; Louis Funar

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arXiv · 2112.06726

Orbifold Kähler Groups related to Mapping Class groups

Philippe Eyssidieux·Louis Funar

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Abstract

We construct certain orbifold compactifications of the moduli stack of pointed stable curves over $\mathbb C$ and study their fundamental groups by means of their quantum representations. This enables to construct interesting Kähler groups and to settle most of the candidates for a counter-example to the Shafarevich conjecture on holomorphic convexity proposed in 1998 by Bogomolov and Katzarkov, using TQFT representations of the mapping class groups.

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Philippe Eyssidieux, Louis Funar. 2021-12-13. Orbifold Kähler Groups related to Mapping Class groups. https://arxiv.org/abs/2112.06726

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