Pseudostable Hodge integrals
Algebraic Geometry
2022-01-13 v1
Abstract
This paper initiates a study of Hodge integrals on moduli spaces of pseudostable curves. We prove an explicit comparison formula that allows one to effectively compute any pseudostable Hodge integral in terms of intersection numbers on moduli spaces of stable curves, and we use this comparison to prove that pseudostable Hodge integrals are equal to their stable counterparts when they are linear in lambda classes, but not when they are nonlinear. This suggests that pseudostable Gromov-Witten invariants are equal to usual Gromov-Witten invariants for target curves, but not for higher-dimensional target varieties.
Cite
@article{arxiv.2201.04585,
title = {Pseudostable Hodge integrals},
author = {Renzo Cavalieri and Joel Gallegos and Dustin Ross and Brandon Van Over and Jonathan Wise},
journal= {arXiv preprint arXiv:2201.04585},
year = {2022}
}
Comments
20 pages, comments welcome!