Genus 2 mapping class groups are not Kähler

Veliche, Răzvan

doi:10.1090/S0002-9939-06-08636-9

Genus $2$ mapping class groups are not Kähler
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Proc. Amer. Math. Soc. 135 (2007), 1441-1447 Request permission

Abstract:

The goal of this note is to prove that the mapping class groups of closed orientable surfaces of genus 2 (with punctures) are not Kähler. An application to compactifications of the moduli space of genus $g$ curves (with punctures) is given.

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