From subfactors to categories and topology III. Triangulation invariants of 3-manifolds and Morita equivalence of tensor categories

From subfactors to categories and topology III. Triangulation invariants of 3-manifolds and Morita equivalence of tensor categories

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by Michael Müger

Venue:	In preparation
Citations:	20 - 2 self

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@INPROCEEDINGS{Müger_fromsubfactors,
    author = {Michael Müger},
    title = {From subfactors to categories and topology III. Triangulation invariants of 3-manifolds and Morita equivalence of tensor categories},
    booktitle = {In preparation},
    year = {}
}

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Citations

314	Quantum Groups - Kassel - 1995
235	Invariants of 3-manifolds via link polynomials and quantum groups - Reshetikhin, Turaev - 1991
72	Module categories, weak Hopf algebras and modular invariants - Ostrik
68	An associative orthogonal bilinear form for Hopf algebras - Larson, Sweedler - 1969
65	Minimal quasitriangular Hopf algebras, J. of Algebra 157 - Radford - 1993
64	A duality for Hopf algebras and for subfactors - Longo - 1994
61	Quantum R-matrices and factorization problems - Reshetikhin, Semenov-Tian-Shansky - 1991
51	Multi-interval subfactors and modularity of representations in conformal field theory - Kawahigashi, Longo, et al.
51	Braid group statistics and their superselection rules - Rehren - 1990
49	Higher-Dimensional Algebra I: Braided Monoidal 2-Categories - Baez, Neuchl - 1996
48	A theory of dimension, K-theory 11 - Longo, Roberts - 1997
45	Rehren: “Nets of subfactors - Longo, K-H - 1995
43	New Examples of Frobenius Extensions - Kadison - 1999
39	From subfactors to categories and topology I. Frobenius algebras in and Morita equivalence of tensor categories - Müger
33	Catégories prémodulaires, modularisations et invariants des variétés de dimension 3 - Bruguières - 2000
30	The structure of sectors associated with Longo-Rehren inclusions - Izumi
28	Invariants of Piecewise-Linear 3-Manifolds - Barrett, Westbury - 1996
27	Braided groups and quantum Fourier transform - Lyubashenko, Majid - 1994
26	Tortitle Yang-Baxter Operators in Tensor Categories - Joyal, Street - 1991
22	Representations, duals and quantum doubles of monoidal categories - Majid - 1991
19	Spherical Categories - Barrett, Westbury - 1993
18	Drinfel’d ,Quantum groups - G - 1986
18	An analogue of Longo’s canonical endomorphism for bimodule theory and its application to asymptotic inclusions - Masuda
17	Woronowicz: Compact matrix pseudogroups - L - 1987
16	On finite-dimensional semisimple and cosemisimple Hopf algebras in positive characteristic - Etingof, Gelaki - 1998
16	Genealogy of nonperturbative quantum-invariants of 3–manifolds: The surgical family, from: “Geometry and physics - Kerler - 1997
16	An invariant coupling between 3-manifolds and subfactors, with connections to topological and conformal quantum field theory, preprint - Ocneanu - 1991
16	Turaev Quantum Invariants of Knots and 3–Manifolds, Walter de Gruyter - G - 1994
12	A necessary and sufficient condition for a finite-dimensional Drinfel’d double to be a ribbon Hopf algebra - Kauffman, Radford - 1993
12	Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories - Yetter - 1992
10	Some properties of finite dimensional semisimple hopf algebras - Etingof, Gelaki - 1998
9	Topological quantum field theories from subfactors - Kodiyalam, Sunder - 2001
9	the quantum double and related constructions - Street - 1998
8	Blanchet: Modular categories of types - Beliakova, C
8	Galois extensions of braided tensor categories and braided crossed G-categories - Müger - 2004
7	Weyl Algebras, Fourier Transformations and Integrals on Finite Dimensional Hopf Algebras - Nill
6	Double Construction for Monoidal Categories - Kassel, Turaev - 1995
4	Kazhdan: Invariants of three-dimensional manifolds - Gelfand, D - 1996
3	Invariants of 3-manifolds from finite groups - Altschuler, Coste - 1991
3	Drinfel’d: On almost cocommutative Hopf algebras - G - 1990
3	Rivano: Catégories Tannakiennes - Saaveda - 1972
2	Private communication - Bruguières
2	Lecture Notes by Y. Kawahigashi), Quantum symmetry, differential geometry of finite graphs and classification of subfactors - Ocneanu - 1990
1	Bruguières: Sliding property in sovereign categories - Altschuler, A
1	Crans: Generalized centers of braided and sylleptic monoidal 2-categories - E - 1998
1	The structure of Longo-Rehren inclusions - Izumi - 1998
1	Lyubashenko: Tangles and Hopf algebras in braided categories - V - 1995
1	Lyubashenko: Modular transformations for tensor categories - V - 1995
1	notes by Y. Kawahigashi): Chirality for operator algebras - Ocneanu - 1994