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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Genus $ 2$ mapping class groups are not Kähler


Author: Razvan Veliche
Journal: Proc. Amer. Math. Soc. 135 (2007), 1441-1447
MSC (2000): Primary 32G15
Published electronically: November 13, 2006
MathSciNet review: 2276653
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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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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: http://dx.doi.org/10.1090/S0002-9939-06-08636-9
PII: S 0002-9939(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.