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We introduce semisimple 2-categories, fusion 2-categories, and spherical fusion 2-categories.
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Simplicial moves on complexes and manifolds
W. B. R. Lickorish · 1999
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Paths on Coxeter diagrams: From Platonic solids and singularities to minimal models and subfactors
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Finite, connected, semisimple, rigid tensor categories are linear
G. Kuperberg · 2003
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On Ocneanu’s theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams
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Quantum computation with Turaev-Viro codes
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From subfactors to categories and topology I: Frobenius algebras in and Morita equivalence of tensor categories
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Module categories, weak Hopf algebras and modular invariants
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P. Etingof, D. Nikshych, and V. Ostrik · 2005
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String-net condensation: A physical mechanism for topological phases
M. A. Levin and X.-G. Wen · 2005
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An algebraic theory of tricategories
M. N. Gurski · 2006
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Modular categories as representations of the 3-dimensional bordism 2-category
B. Bartlett, C. L. Douglas, C. J. Schommer-Pries, and J. Vicary · 2015
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A note on separable functors and monads with an application to equivariant derived categories
X.-W. Chen · 2015
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Tensor Categories
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Orbifold completion of defect bicategories
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Higher categories and topological quantum field theories
S. X. Cui · 2016
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Categorified trace for module tensor categories over braided tensor categories
A. Henriques, D. Penneys, and J. Tener · 2016
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The balanced tensor product of module categories
C. L. Douglas, C. Schommer-Pries, and N. Snyder · 2017
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C. L. Douglas, C. Schommer-Pries, and N. Snyder · 2017
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(Op)lax natural transformations, twisted quantum field theories, and “even higher” Morita categories
T. Johnson-Freyd and C. Scheimbauer · 2017
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Dichromatic state sum models for four-manifolds from pivotal functors
M. Bärenz and J. Barrett · 2018
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On dualizability of braided tensor categories
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Z. Wang · 2018
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