The rational cohomology of \Mbar_4
arXiv:math/0506502 · doi:10.1007/s00208-006-0073-z
Abstract
We present two approaches to the study of the cohomology of moduli spaces of curves. Together, they allow us to compute the rational cohomology of the moduli space \Mbar_4 of stable complex curves of genus 4, with its Hodge structure.
28 pages. Changes mainly of notational and expository nature. The published paper is available at http://www.springerlink.com