The rational cohomology of $${\overline{\mathcal{M}_4}}$$

• DOI: 10.1007/s00208-006-0073-z
• Publication Date: 2007-01-09T06:14:35Z
• Authors: Jonas Bergström; Orsola Tommasi
• Keywords: Overline; Hodge structure

28 pages. Changes mainly of notational and expository nature. The published paper is available at http://www.springerlink.com<br/>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.<br/>