English

Hodge integrals in FJRW theory

Algebraic Geometry 2015-09-24 v1

Abstract

We study higher genus Fan--Jarvis--Ruan--Witten theory of any chain polynomial with any group of symmetries. Precisely, we give an explicit way to compute the cup product of Polishchuk and Vaintrob's virtual class with the top Chern class of the Hodge bundle. Our formula for this product holds in any genus and without any assumption on the semi-simplicity of the underlying cohomological field theory.

Keywords

Cite

@article{arxiv.1509.07047,
  title  = {Hodge integrals in FJRW theory},
  author = {Jérémy Guéré},
  journal= {arXiv preprint arXiv:1509.07047},
  year   = {2015}
}

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16 pages