On the polynomiality of orbifold Gromov--Witten theory of root stacks

Abstract

In \cite{TY18}, higher genus Gromov--Witten invariants of the stack of $r$-th roots of a smooth projective variety $X$ along a smooth divisor $D$ are shown to be polynomials in $r$. In this paper we study the degrees and coefficients of these polynomials.

14 pages. Revised according to referees' comments. To appear in Mathematische Zeitschrift

References in corpus (1)

• Gromov-Witten theory of banded gerbes over schemes

Cited by in corpus (2)

• A Gromov-Witten theory for simple normal-crossing pairs without log geometry
• Gromov--Witten invariants of root stacks with mid-ages and the loop axiom