On the structure of the Witt group of braided fusion categories

I. Frenkel, V. Kac, Basic representations of affine Lie algebras and dual resonansce models

1980

Earlier work this paper cites.

R. Dijkgraaf, E. Verlinde, Modular invariance and the fusion algebras

1988

Earlier work this paper cites.

G. Moore, N. Seiberg, Naturality in conformal field theory

1989

Earlier work this paper cites.

S. Majid, Representations, duals and quantum doubles of monoidal categories

1991

Earlier work this paper cites.

A. Joyal, R. Street, Braided tensor categories

1993

Earlier work this paper cites.

Y.-Z. Huang, J. Lepowski, A theory of tensor products for module categories for a vertex operator algebra. I, II

1995

Earlier work this paper cites.

J. Bockenhauer, D. E. Evans, Modular invariants from subfactors: Type I coupling matrices and intermediate subfactors

2000

Earlier work this paper cites.

M. Müger, Galois theory for braided tensor categories and the modular closure

2000

Earlier work this paper cites.

B. Bakalov, A. Kirillov Jr., Lectures on Tensor categories and modular functors

2001

Earlier work this paper cites.

P. Schauenburg, The monoidal center construction and bimodules

2001

Cited alongside, same era.

P. Deligne, Catégories tensorielles

2002

Cited alongside, same era.

A. Kirillov Jr., V. Ostrik, On q q -analog of McKay correspondence and ADE classification of 𝔰 ​ 𝔩 ^ 2 \hat{\mathfrak{s}\mathfrak{l}}_{2} conformal field theories

2002

Cited alongside, same era.

M. Müger, On the structure of modular categories

2003

Cited alongside, same era.

M. Müger, From subfactors to categories and topology I. Frobenius algebras in and Morita equivalence of tensor categories

2003

Cited alongside, same era.

V. Ostrik, Module categories, weak Hopf algebras and modular invariants

2003

Cited alongside, same era.

J. Frohlich, J. Fuchs, I. Runkel, C. Schweigert, Correspondences of ribbon categories

2006

Later among the works it cites.

L. Kong, I. Runkel, Morita classes of algebras in modular tensor categories

2008

Later among the works it cites.

A. Davydov, Modular invariants for group-theoretical modular data

2010

Later among the works it cites.

A. Davydov, M. Müger, D. Nikshych, and V. Ostrik, The Witt group of non-degenerate braided fusion categories

2010

Later among the works it cites.

V. Drinfeld, S. Gelaki, D. Nikshych, and V. Ostrik. On braided fusion categories I

2010

Later among the works it cites.

P. Etingof, D. Nikshych, and V. Ostrik. Fusion categories and homotopy theory

2010

Later among the works it cites.