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Monoidal 2-Categories: A Review

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arxiv 2011.02830 v3 pith:WHR3WNAL submitted 2020-11-03 math.CT

classification math.CT
keywords definitioncategoriesmonoidalreviewalgebraiccategorycompletekapranov
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We review the complete definition of monoidal 2-categories and recover Kapranov and Voevodsky's definition from the algebraic definition of weak 3-category(or tricategory).

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Cited by 1 Pith paper

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  1. The 2-Category of Topological Quantum Computation

    quant-ph 2025-05 reject novelty 6.0 of 10

    The paper argues that a braided fusion 2-category, with anyon types as objects and fusion spaces as 1-morphisms, unifies anyonic hardware with topological quantum computing models.

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