대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제58권3호
  • /
  • Pages.573-591
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  • 2021
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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POLYNOMIALITY OF THE EQUIVARIANT GROMOV-WITTEN THEORY OF ℙr-1

  • Lho, Hyenho (Department of Mathematics Chungnam National University)
  • 투고 : 2020.03.13
  • 심사 : 2021.02.09
  • 발행 : 2021.05.31
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초록

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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참고문헌

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