Bulletin of the Korean Mathematical Society (대한수학회보)

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POLYNOMIALITY OF THE EQUIVARIANT GROMOV-WITTEN THEORY OF ℙr-1

  • Lho, Hyenho (Department of Mathematics Chungnam National University)
  • Received : 2020.03.13
  • Accepted : 2021.02.09
  • Published : 2021.05.31
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Abstract

We study the equivariant Gromov-Witten theory of ℙr-1 for all r ≥ 2. We prove a polynomiality property in r of the Gromov-Witten classes of ℙr-1. Using this polynomiality property, we define a set of polynomial valued classes in $H^*({\bar{M}}_{g,n})$ which generalize the limit of Witten's s-spin classes studied by Pandharipande, Pixton and Zvonkine.

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References

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