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Award ID contains: 2202068

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  1. ; ; ; ; ; (, Transformation Groups)
    Abstract 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 , n to the same statement forn= 4. A reinterpretation leads to a proof of the conjecture on$$\overline {\text {M}}_{0,n}$$ M ¯ 0 , n for a large class, and we give sufficient conditions for the non-vanishing of these divisors. 
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  2. ; (, Algebraic Geometry)
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  3. (, Cambridge Univ. Press, Cambridge, 2022)
    Sam Payne, et al (Ed.)
    Representations of certain vertex algebras, here called of CohFT-type, can be used to construct vector bundles of coinvariants and conformal blocks on moduli spaces of stable curves [DGT2]. We show that such bundles define semisimple cohomological field theories. As an application, we give an expression for their total Chern character in terms of the fusion rules, following the approach and computation in [MOP+2] for bundles given by integrable modules over ane Lie alge- bras. It follows that the Chern classes are tautological. Examples and open problems are discussed. 
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    Accepted Manuscript Full Text Available
  4. ; ; (, Geometry & Topology)
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