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Creators/Authors contains: "Chiara Damiolini, Angela Gibney"

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  1. (, 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
  2. (, Cambridge University Press, Cambridge,)
    Paolo Aluffi, David Anderson (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 [MOPPZ] for bundles given by integrable modules over affine Lie algebras. It follows that the Chern classes are tautological. Examples and open problems are discussed. 
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    Accepted Manuscript Full Text Available