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Pré-Publication, Document De Travail Année : 2021

Orbifold K\"ahler Groups related to Mapping Class groups

Louis Funar
Philippe Eyssidieux

Résumé

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 K\"ahler 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.

Dates et versions

hal-03480816 , version 1 (14-12-2021)

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Louis Funar, Philippe Eyssidieux. Orbifold K\"ahler Groups related to Mapping Class groups. 2021. ⟨hal-03480816⟩
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