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

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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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Acknowledgements

We thank Dhruv Ranganathan, Jonathan Wise and Dimitri Zvonkine for important discussions on reduced invariants and the degree of the polynomial. H.-H. T. is supported in part by Simons foundation collaboration grant. F. Y. is supported by a postdoctoral fellowship of NSERC and the Department of Mathematical and Statistical Sciences at the University of Alberta and a postdoctoral fellowship for the Thematic Program on Homological Algebra of Mirror Symmetry at the Fields Institute for Research in Mathematical Sciences.

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  1. Department of Mathematics, Ohio State University, 100 Math Tower, 231 West 18th Ave., Columbus, OH, 43210, USA

    Hsian-Hua Tseng

  2. Department of Mathematical and Statistical Sciences, 632 CAB, University of Alberta, Edmonton, AB T6G 2G1, Canada

    Fenglong You

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  1. Hsian-Hua Tseng
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Correspondence to Fenglong You.

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Tseng, HH., You, F. On the polynomiality of orbifold Gromov–Witten theory of root stacks. Math. Z. 300, 235–246 (2022). https://doi.org/10.1007/s00209-021-02782-y

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