# Vertex algebras of CohFT-type

@article{Damiolini2019VertexAO, title={Vertex algebras of CohFT-type}, author={Chiara Damiolini and A. Gibney and Nicola Tarasca}, journal={arXiv: Algebraic Geometry}, year={2019} }

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… CONTINUE READING

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