Published June 2009
| Submitted
Journal Article
Open
The action of S_n on the cohomology of M_(0,n)(R)
- Creators
-
Rains, Eric M.
Chicago
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Abstract
In recent work by Etingof, Henriques, Kamnitzer, and the author, a presentation and explicit basis was given for the rational cohomology of the real locus M_(0,n)(R) of the moduli space of stable genus 0 curves with n marked points. We determine the graded character of the action of S_n on this space (induced by permutations of the marked points), both in the form of a plethystic formula for the cycle index, and as an explicit product formula for the value of the character on a given cycle type.
Additional Information
© 2009 Springer. Published online: 27 January 2009. The author would like to thank P. Etingof for useful discussions (and for asking the question in the first place); also A. Henderson for helpful comments and references, especially regarding the complex case, and the referees for helpful suggestions about the organization of the exposition. This work was supported in part by NSF Grant No. DMS-0401387.Attached Files
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Additional details
- Eprint ID
- 15992
- Resolver ID
- CaltechAUTHORS:20090922-113504889
- NSF
- DMS-0401387
- Created
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2009-09-28Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field