Genus $2$ mapping class groups are not Kähler

Răzvan Veliche
2007 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-06-08636-9 fatcat:m6bjoeggkjhafp73mychp2h72q