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

@article{Tseng2021OnTP,
  title={On the polynomiality of orbifold Gromov–Witten theory of root stacks},
  author={Hsian-hua Tseng and Fenglong You},
  journal={Mathematische Zeitschrift},
  year={2021},
  volume={300},
  pages={235-246}
}
In [ 25 ], 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. 
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4 Citations
Background Citations
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4 Citations

A new approach to the operator formalism for Gromov-Witten invariants of the cap and tube
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A Gromov-Witten theory for simple normal-crossing pairs without log geometry
We define a new Gromov-Witten theory relative to simple normal crossing divisors as a limit of Gromov-Witten theory of multi-root stacks. Several structural properties are proved including relative…
A mirror theorem for multi-root stacks and applications.
Given a smooth projective variety $X$ with a simple normal crossing divisor $D:=D_1+D_2+...+D_n$, where $D_i\subset X$ are smooth, irreducible and nef. We prove a mirror theorem for multi-root stacks…
Gromov–Witten invariants of root stacks with mid-ages and the loop axiom

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