Combinatorial classes on the moduli space of curves are tautological

Details Combinatorial classes on the moduli space of curves are tautological Combinatorial classes on the moduli space of curves are tautological

2003-03-17

arxiv.org/abs/math/0303207v2

Mathematics

Algebraic Topology

LaTeX2e, 57 pages, 16 figures (XYpic and PSTeX), to appear on IMRN

Scientific paper

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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