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Coherence for monoidal $G$-categories and braided $G$-crossed categories

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abstract

We prove a coherence theorem for actions of groups on monoidal categories. As an application we prove coherence for arbitrary braided $G$-crossed categories.

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math.QA 1

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2025 1

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Generalised Orbifolds and G-equivariantisation

math.QA · 2025-06-09 · accept · novelty 6.0

Generalised orbifold categories of G-crossed ribbon categories are ribbon equivalent to G-equivariantisations, via an explicit functor.

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  • Generalised Orbifolds and G-equivariantisation math.QA · 2025-06-09 · accept · none · ref 11 · internal anchor

    Generalised orbifold categories of G-crossed ribbon categories are ribbon equivalent to G-equivariantisations, via an explicit functor.