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We prove a rank-finiteness conjecture for modular categories: up to equivalence, there are only finitely many modular categories of any fixed rank.
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Siu-Hung Ng and Peter Schauenburg · 2007
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Shlomo Gelaki and Dmitri Nikshych · 2008
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“Central invariants and higher indicators for semisimple quasi-Hopf algebras”
Siu-Hung Ng and Peter Schauenburg · 2008
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“On Braided Fusion Categories I”
Vladimir Drinfeld, Shlomo Gelaki, Dmitri Nikshych and Victor Ostrik · 2010
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P. Deligne · 2002
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“On Vafa’s Theorem for Tensor Categories”
Pavel Etingof · 2002
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“The Kernel of the Modular Representation and the Galois Action in RCFT”
Peter Bantay · 2003
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“From Subfactors to Categories and Topology II: The Quantum Doubles of Tensor Categories and Subfactors”
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Michael M“”uger · 2003
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“Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras”
Geoffrey Mason and Siu-Hung Ng · 2003
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“Module Categories over the Drinfeld Double of a Finite Group”
Viktor Ostrik · 2003
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“Fusion Categories and Homotopy Theory”
Pavel Etingof, Dmitri Nikshych and Victor Ostrik · 2010
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“Congruence Subgroups and Generalized Frobenius-Schur Indicators”
Siu-Hung Ng and Peter Schauenburg · 2010
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“Topological Quantum Computation”, CBMS Regional Conference Series in Mathematics 112
Zhenghan Wang · 2010
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“A Finiteness Property for Braided Fusion Categories”
Deepak Naidu and Eric˜C. Rowell · 2011
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“Descent and forms of tensor categories”
Pavel Etingof and Shlomo Gelaki · 2012
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“Hopf algebras and congruence subgroups”
Yorck Sommerh“”auser and Yongchang Zhu · 2012
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“Quantum Computing: A Quantum Group Approach”
Zhenghan Wang · 2012
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“(3+1)-TQFTS and Topological Insulators”
Kevin Walker and Zhenghan Wang · 2012
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