Pages 97-124 from Volume 157 (2003), Issue 1 by Carel Faber, Rahul Pandharipande
We prove a closed formula for integrals of the cotangent line classes against the top Chern class of the Hodge bundle on the moduli space of stable pointed curves. These integrals are computed via relations obtained from virtual localization in Gromov-Witten theory. An analysis of several natural matrices indexed by partitions is required.
Received: 12 October 1999
Accepted: 19 December 2001
Published online: January 2003
Department of Mathematics, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden
Department of Mathematics, Princeton University, Princeton, NJ
ETH Zürich, Gruppe 1, Department of Mathematics, HG G 55, Rämistrasse 101, 8092 Zürich, Switzerland