Solutions of the hexagon equation for abelian anyons

Samuel Eilenberg and Saunders Mac Lane, On the groups of h ⁡ ( π , n ) h(\pi,n) . I , Ann. of Math. (2) 58

1953

Earlier work this paper cites.

by same author, On the groups h ⁡ ( π , n ) h(\pi,n) . II. Methods of computation , Ann. of Math. (2) 60

1954

Earlier work this paper cites.

C. T. C. Wall, Quadratic forms on finite groups, and related topics , Topology 2

1963

Earlier work this paper cites.

Alan H. Durfee, Bilinear and quadratic forms on torsion modules , Advances in Math. 25

1977

Earlier work this paper cites.

Rick Miranda and David R. Morrison, The number of embeddings of integral quadratic forms. II , Proc. Japan Acad. Ser. A Math. Sci. 62

1986

Earlier work this paper cites.

Daisuke Tambara and Shigeru Yamagami, Tensor categories with fusion rules of self-duality for finite abelian groups , Journal of Algebra 209

1998

Earlier work this paper cites.

Frank Quinn, Group categories and their field theories , Proceedings of the Kirbyfest (Berkeley, CA, 1998), Geom. Topol. Monogr., vol. 2, Geom. Topol. Publ., Coventry, 1999, pp. 407–453 (electronic). MR 1734419

1999

Earlier work this paper cites.

Geoffrey Mason and Siu-Hung Ng, Group cohomology and gauge equivalence of some twisted quantum doubles , Trans. Amer. Math. Soc. 353

2001

Earlier work this paper cites.

Michael Freedman, Alexei Kitaev, Michael Larsen, and Zhenghan Wang, Topological quantum computation , Bulletin of the American Mathematical Society 40

2003

Cited alongside, same era.

A Yu Kitaev, Fault-tolerant quantum computation by anyons , Annals of Physics 303

2003

Cited alongside, same era.

Michael Müger, On the structure of modular categories , Proc. London Math. Soc. (3) 87

2003

Cited alongside, same era.

Pavel Etingof, Dmitri Nikshych, and Viktor Ostrik, On fusion categories , Ann. of Math. (2) 162

2005

Cited alongside, same era.

Alexei Kitaev, Anyons in an exactly solved model and beyond , Annals of Physics 321

2006

Cited alongside, same era.

Parsa Hassan Bonderson, Non-abelian anyons and interferometry , Ph.D. thesis, California Institute of Technology, 2007

Zhenghan Wang, Topological quantum computation , CBMS Regional Conference Series in Mathematics, vol. 112, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2010. MR 2640343

2010

Later among the works it cites.

D Bulacu, S Caenepeel, and B Torrecillas, The braided monoidal structures on the category of vector spaces graded by the klein group , Edinburgh Mathematical Society. Proceedings 54

2011

Later among the works it cites.

Jiannis K. Pachos, Introduction to topological quantum computation , Cambridge University Press, Cambridge, 2012. MR 3157248

2012

Later among the works it cites.

Hua-Lin Huang, Gongxiang Liu, and Yu Ye, The braided monoidal structures on a class of linear gr-categories , Algebras and Representation Theory 17

2014

Later among the works it cites.