Hodge integrals, partition matrices, and the lambda_g conjecture

Details Hodge integrals, partition matrices, and the lambda_g conjecture Hodge integrals, partition matrices, and the lambda_g conjecture

1999-08-11

arxiv.org/abs/math/9908052v3

Ann. of Math. (2), Vol. 157 (2003), no. 1, 97--124

Mathematics

Algebraic Geometry

28 pages, published version

Scientific paper

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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