%AChen, L.%AGibney, A.%AHeller, L.%AKalashnikov, E.%ALarson, H.%AXu, W.%BJournal Name: Transformation Groups; Related Information: CHORUS Timestamp: 2022-08-16 05:15:22 %D2022%ISpringer Science + Business Media; None %JJournal Name: Transformation Groups; Related Information: CHORUS Timestamp: 2022-08-16 05:15:22 %K %MOSTI ID: 10369886 %PMedium: X %TOn an Equivalence of Divisors on $\overline {\text {M}}_{0,n}$ from Gromov-Witten Theory and Conformal Blocks %XAbstract

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

%0Journal Article