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arXiv:math/0303207 [math.AT]AbstractReferencesReviewsResources

Combinatorial classes on the moduli space of curves are tautological

Gabriele Mondello

Published 2003-03-17, updated 2004-04-26Version 2

The combinatorial description via ribbon graphs of the moduli space of Riemann surfaces makes it possible to define combinatorial cycles in a natural way. Witten and Kontsevich first conjectured that these classes are polynomials in the tautological classes. We answer affirmatively to this conjecture and find recursively all the polynomials.

Comments: LaTeX2e, 57 pages, 16 figures (XYpic and PSTeX), to appear on IMRN
Categories: math.AT, math.AG
Subjects: 32G15
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