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On the definition and K-theory realization of a modular functor

Igor Kriz

Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1109, USA

E-mail Address: ikriz@umich.edu

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and

Luhang Lai

Department of Mathematics, University of California, Berkeley, 970 Evans Hall, Berkeley, CA 94720-3840, USA

E-mail Address: lailh@math.berkeley.edu

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https://doi.org/10.1142/S0129055X18500083Cited by:2 (Source: Crossref)

Abstract

We present a definition of a (super)-modular functor which includes certain interesting cases that previous definitions do not allow. We also introduce a notion of topological twisting of a modular functor, and construct formally a realization by a 2-dimensional topological field theory valued in twisted $K$ $K$ -modules. We discuss, among other things, the $N = 1$ $N = 1$ -supersymmetric minimal models from the point of view of this formalism.

Keywords:

AMSC: 18D10, 19L50, 17B65, 17B70, 17B10

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