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 Polynomiality of the equivariant Gromov-Witten theory of $\mathbb P^{r-1}$ Bull. Korean Math. Soc. 2021 Vol. 58, No. 3, 573-591 https://doi.org/10.4134/BKMS.b200236Published online May 7, 2021Printed May 31, 2021 Hyenho Lho Chungnam National University Abstract : We study the equivariant Gromov-Witten theory of $\PP^{r-1}$ for all $r\ge 2$. We prove a polynomiality property in $r$ of the Gromov-Witten classes of $\PP^{r-1}$. Using this polynomiality property, we define a set of polynomial valued classes in $H^*(\overline{M}_{g,n})$ which generalize the limit of Witten's $s$-spin classes studied by Pandharipande, Pixton and Zvonkine. Keywords : Gromov-Witten theory, tautological class MSC numbers : 14D23 Supported by : This work was supported by research fund of Chungnam National University. Downloads: Full-text PDF   Full-text HTML