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arXiv · 2107.00174

On an equivalence of divisors on $\bar{M}_{0,n}$ from Gromov-Witten theory and conformal blocks

Linda Chen·Angela Gibney·Lauren Cranton Heller·Elana Kalashnikov·Hannah Larson·Weihong Xu
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Abstract

We consider a conjecture that identifies two types of base point free divisors on $\bar{M}_{0,n}$. The first arises from Gromov-Witten theory of a Grassmannian. The second comes from first Chern classes of vector bundles associated to simple Lie algebras in type A. Here we reduce this conjecture on $\bar{M}_{0,n}$ to the same statement for $n=4$. A reinterpretation leads to a proof of the conjecture on $\bar{M}_{0,n}$ for a large class, and we give sufficient conditions for the non-vanishing of these divisors.

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Linda Chen, Angela Gibney, Lauren Cranton Heller, Elana Kalashnikov, Hannah Larson, Weihong Xu. 2021-07-01. On an equivalence of divisors on $\bar{M}_{0,n}$ from Gromov-Witten theory and conformal blocks. https://arxiv.org/abs/2107.00174

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