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Title: Vertex algebras of CohFT-type
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.  more » « less
Award ID(s):
2200862
PAR ID:
10469754
Author(s) / Creator(s):
Corporate Creator(s):
Editor(s):
Paolo Aluffi, David Anderson
Publisher / Repository:
Cambridge University Press, Cambridge,
Date Published:
Edition / Version:
1
Volume:
472
Issue:
1
ISSN:
NA
ISBN:
978-1-108-79250-9
Page Range / eLocation ID:
164–189
Subject(s) / Keyword(s):
Vertex algebras conformal blocks and coinvariants moduli of curves cohomological field theories tautological classes vector bundles.
Format(s):
Medium: X Size: 2MB Other: xls
Size(s):
2MB
Location:
Facets of algebraic geometry. Vol. I., London Math. Soc. Lecture Note Ser., 472
Sponsoring Org:
National Science Foundation
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