Virasoro constraints for Hodge integrals
Mathematical Physics
2025-06-13 v1 Algebraic Geometry
math.MP
Abstract
The purpose of this paper is to study Virasoro constraints for Hodge integrals in Gromov-Witten theory of any target varieties. Results consist of the following: Firstly, we propose Virasoro conjecture for Hodge integrals in Gromov-Witten theory of any target varieties; Secondly, we prove Virasoro constraints for Hodge integrals in genus zero of any target varieties; Thirdly, we prove the genus-1 constraint with one Hodge character class insertion for any target varieties; Lastly, we obtain certain new vanishing identities in higher genus for Gromov-Witten invariants of any target varieties.
Cite
@article{arxiv.2506.10033,
title = {Virasoro constraints for Hodge integrals},
author = {Xin Wang},
journal= {arXiv preprint arXiv:2506.10033},
year = {2025}
}