arXiv math/03032072003-03math.ATmath.AG

Combinatorial classes on the moduli space of curves are tautological

Gabriele Mondello

备注：: LaTeX2e, 57 pages, 16 figures (XYpic and PSTeX), to appear on IMRN
发表信息：: Int. Math. Res. Not. 2004, no. 44, 2329-2390

英文摘要：

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.

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