Universal Equations for Higher Genus Gromov–Witten Invariants from Hodge Integrals

Felix Janda; Xin Wang

doi:10.1007/s00220-024-04931-w

Universal Equations for Higher Genus Gromov–Witten Invariants from Hodge Integrals

Felix Janda, Xin Wang

Mathematics

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

Abstract

We establish new universal equations for higher genus Gromov–Witten invariants of target manifolds, by studying both the Chern character and Chern classes of the Hodge bundle on the moduli space of curves. As a consequence, we find new push-forward relations on the moduli space of stable curves.

Original language	English (US)
Article number	47
Journal	Communications in Mathematical Physics
Volume	405
Issue number	2
DOIs	https://doi.org/10.1007/s00220-024-04931-w
State	Published - Feb 2024

Keywords

Primary 14N35
Secondary 14N10

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Online availability

10.1007/s00220-024-04931-w

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abstract = "We establish new universal equations for higher genus Gromov–Witten invariants of target manifolds, by studying both the Chern character and Chern classes of the Hodge bundle on the moduli space of curves. As a consequence, we find new push-forward relations on the moduli space of stable curves.",

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KW - Secondary 14N10

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Universal Equations for Higher Genus Gromov–Witten Invariants from Hodge Integrals

Abstract

Keywords

ASJC Scopus subject areas

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