Combinatorial classes on the moduli space of curves are tautological
Algebraic Topology
2016-02-01 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0303207,
title = {Combinatorial classes on the moduli space of curves are tautological},
author = {Gabriele Mondello},
journal= {arXiv preprint arXiv:math/0303207},
year = {2016}
}
Comments
LaTeX2e, 57 pages, 16 figures (XYpic and PSTeX), to appear on IMRN