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Hodge integrals, partition matrices, and the lambdag conjecture

1999/08/31 by C. Faber, R. Pandharipande
Mathematics · #math.AG #msc:14H10

paper · pdf

published as Ann. of Math. (2), Vol. 157 (2003), no. 1, 97--124 · 28 pages, published version

arxiv created 2004/02/12 · arxiv updated 2009/11/30

Abstract

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.

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