Polynomiality of the equivariant Gromov-Witten theory of $\mathbb P^{r-1}$
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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.
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.
참고문헌 (13)
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