Spin Modular Categories

Spin structures on manifolds ,

J.W. Milnor · 1963

Earlier work this paper cites.

Categories for the Working Mathematician ,

S. Mac Lane · 1971

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A calculus for framed links in S 3 S^{3} ,

R. Kirby · 1978

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Quantum field theory and the Jones polynomial ,

E. Witten · 1989

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State sum models in low-dimensional topology ,

V.G. Turaev · 1990

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The 3 3 -manifold invariants of Witten and Reshetikhin-Turaev for 𝔰 ​ 𝔩 ​ ( 2 , ℂ ) \mathfrak{sl}(2,\mathbb{C}) ,

R. Kirby, and P. Melvin · 1991

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Three-manifold invariants and the Temperley-Lieb algebra ,

W.B.R. Lickorish · 1991

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Invariants of 3 3 -manifolds via link polynomials and quantum groups ,

N. Reshetikhin, and V. Turaev · 1991

Cited alongside, same era.

Invariants of three–manifolds with spin structure ,

C. Blanchet · 1992

Cited alongside, same era.

Three-manifold invariants derived from the Kauffman bracket ,

C. Blanchet, N. Habegger, G. Masbaum and P. Vogel · 1992

Cited alongside, same era.

Invariants of three-manifolds derived from linking matrices of framed links ,

H. Murakami, T. Ohtsuki, and M. Okada · 1992

Cited alongside, same era.

Quantum invariants of knots and 3 3 -manifolds

V.G. Turaev · 1994

Cited alongside, same era.

An Introduction to Knot Theory ,

W.B.R. Lickorish · 1997

Cited alongside, same era.

Premodular categories, modularisations and invariants of 3-manifolds. (Catégories prémodulaires, modularisations et invariants des variétés de dimension 3.)

A. Bruguières · 2000

Later among the works it cites.

Modular categories of type B B , C C and D D ,

A. Beliakova, and C. Blanchet · 2001

Later among the works it cites.

On the structure of modular categories ,

M. Müger · 2003

Later among the works it cites.

Surgery on contact 3 3 -manifolds and Stein surfaces ,

B. Ozbagci, and A.I. Stipsicz · 2004

Later among the works it cites.

A spin decomposition of the Verlinde formulas for type A modular categories ,

C. Blanchet · 2005

Later among the works it cites.

Quadratic functions and complex spin structures on three-manifolds ,

F. Deloup, and G. Massuyeau · 2005

Later among the works it cites.