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arXiv · 1004.1825

A Geometric Construction for Permutation Equivariant Categories from Modular Functors

Till Barmeier·Christoph Schweigert
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Abstract

Let G be a finite group. Given a finite G-set X and a modular tensor category C, we construct a weak G-equivariant fusion category, called the permutation equivariant tensor category. The construction is geometric and uses the formalism of modular functors. As an application, we concretely work out a complete set of structure morphisms for Z/2-permutation equivariant categories, finishing thereby a program we initiated in an earlier paper arXiv:0812.0986 [math.CT].

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BibTeXRIS

Till Barmeier, Christoph Schweigert. 2010-12-02. A Geometric Construction for Permutation Equivariant Categories from Modular Functors. https://arxiv.org/abs/1004.1825

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