Genus mapping class groups are not Kähler

Author:
Razvan Veliche

Journal:
Proc. Amer. Math. Soc. **135** (2007), 1441-1447

MSC (2000):
Primary 32G15

DOI:
https://doi.org/10.1090/S0002-9939-06-08636-9

Published electronically:
November 13, 2006

MathSciNet review:
2276653

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Abstract | References | Similar Articles | Additional Information

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 curves (with punctures) is given.

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Additional Information

**Razvan Veliche**

Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907

Address at time of publication:
Department of Mathematics, University of Utah, Salt Lake City, Utah 84112

Email:
rveliche@math.utah.edu

DOI:
https://doi.org/10.1090/S0002-9939-06-08636-9

Received by editor(s):
February 25, 2005

Received by editor(s) in revised form:
December 16, 2005

Published electronically:
November 13, 2006

Dedicated:
To Oana and “AAA”

Communicated by:
Michael Stillman

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.