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.
"Hodge Integrals in FJRW Theory." Michigan Math. J. 66 (4) 831 - 854, November 2017. https://doi.org/10.1307/mmj/1508810817