On Virasoro Constraints for Orbifold Gromov-Witten Theory

TL;DR

This paper explores Virasoro constraints in orbifold Gromov-Witten theory and derives explicit formulas for descendant cyclic Hurwitz-Hodge integrals for specific weighted projective stacks.

Contribution

It introduces Virasoro constraints for orbifold Gromov-Witten theory and applies them to compute new formulas for descendant cyclic Hurwitz-Hodge integrals.

Findings

Derived formulas for descendant cyclic Hurwitz-Hodge integrals

Applied Virasoro constraints to specific weighted projective stacks

Enhanced understanding of orbifold Gromov-Witten potentials

Abstract

Virasoro constraints for orbifold Gromov-Witten theory are described. These constraints are applied to the degree zreo, genus zero orbifold Gromov-Witten potentials of the weighted projective stacks $\mathbb{P}(1,N)$, $\mathbb{P}(1,1,N)$ and $\mathbb{P}(1,1,1,N)$ to obtain formulas of descendant cyclic Hurwitz-Hodge integrals.