Hodge integrals, partition matrices, and the λg conjecture

C. Faber; R. Pandharipande

doi:10.4007/annals.2003.157.97

Hodge integrals, partition matrices, and the λ_g conjecture

C. Faber^*, R. Pandharipande

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	97-124
Number of pages	28
Journal	Annals of Mathematics
Volume	157
Issue number	1
DOIs	https://doi.org/10.4007/annals.2003.157.97
Publication status	Published - Jan 2003
Externally published	Yes

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title = "Hodge integrals, partition matrices, and the λg conjecture",

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.",

author = "C. Faber and R. Pandharipande",

year = "2003",

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doi = "10.4007/annals.2003.157.97",

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AB - 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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DO - 10.4007/annals.2003.157.97

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JO - Annals of Mathematics

JF - Annals of Mathematics

IS - 1

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Hodge integrals, partition matrices, and the λ_g conjecture

Abstract

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