Hodge Integrals in FJRW Theory

Jérémy Guéré

doi:10.1307/mmj/1508810817

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Home > Journals > Michigan Math. J. > Volume 66 > Issue 4 > Article

November 2017 Hodge Integrals in FJRW Theory

Jérémy Guéré

Michigan Math. J. 66(4): 831-854 (November 2017). DOI: 10.1307/mmj/1508810817

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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.