Genus $2$ mapping class groups are not Kähler
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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.References
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Additional Information
- Răzvan 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
- Received by editor(s): February 25, 2005
- Received by editor(s) in revised form: December 16, 2005
- Published electronically: November 13, 2006
- Communicated by: Michael Stillman
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 1441-1447
- MSC (2000): Primary 32G15
- DOI: https://doi.org/10.1090/S0002-9939-06-08636-9
- MathSciNet review: 2276653
Dedicated: To Oana and “AAA”