Keyword

braid groups

Description: Braid groups are mathematical groups whose elements represent braids, with applications in algebra, topology, and the study of knots.

Primary topic: Geometric and Algebraic Topology (59%)

Wikidata ID: wiki/Q220409

OpenAlex ID: keywords/braid-groups

Foundations of Quantum Group Theory

1995 · Shahn Majid · Cambridge University Press eBooks · 1,941

A polynomial invariant for knots via von Neumann algebras

1985 · Vaughan F. R. Jones · Bulletin of the American Mathematical Society · 1,618

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Braids, Links, and Mapping Class Groups

1974 · Joan S. Birman · International Linear Collider · 1,599

Hecke Algebra Representations of Braid Groups and Link Polynomials

1987 · V. F. R. Jones · Annals of Mathematics · 1,398

Quantum Groups

1995 · Christian Kassel · Graduate texts in mathematics · 1,129

‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle

1991 · F. D. M. Haldane · Physical Review Letters · 1,020

Theory of Braids

1947 · E. Artin · Annals of Mathematics · 970

A Primer on Mapping Class Groups (PMS-49)

2017 · Benson Farb, Dan Margalit · Princeton University Press eBooks · 929

Hopf Algebras and the Quantum Yang-baxter Equation

1990 · V. G. DRINFEL'D · Advanced series in mathematical physics · 861

A Primer on Mapping Class Groups

2011 · Benson Farb, Dan Margalit · Princeton University Press eBooks · 702

Knots and physics

1991 · Louis H. Kauffman · Medical Entomology and Zoology · 628

Some algebraic structures connected with the Yang—Baxter equation

1982 · E. K. Sklyanin · Functional Analysis and Its Applications · 616

The Braid Group and Other Groups

1969 · F. A. GARSIDE · The Quarterly Journal of Mathematics · 610

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A Modular Functor Which is Universal¶for Quantum Computation

2002 · Michael H. Freedman, Michael Larsen, et al. · Communications in Mathematical Physics · 584

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The Yang-Baxter equation and invariants of links

1988 · V. G. Turaev · Inventiones mathematicae · 527

Braids, Links, and Mapping Class Groups. (AM-82)

1975 · Joan S. Birman · Princeton University Press eBooks · 482

Artin-Gruppen und Coxeter-Gruppen

1972 · Egbert Brieskorn, Kyoji Saito · Inventiones mathematicae · 477

Set-theoretical solutions to the quantum Yang-Baxter equation

1999 · Pavel Etingof, Travis Schedler, et al. · Duke Mathematical Journal · 466

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New Public-Key Cryptosystem Using Braid Groups

2000 · Ki Hyoung Ko, Sang Jin Lee, et al. · Lecture notes in computer science · 412

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Braids, link polynomials and a new algebra

1989 · Joan S. Birman, Hans Wenzl · Transactions of the American Mathematical Society · 406

Hecke algebras of typeA n and subfactors

1988 · Hans Wenzl · Inventiones mathematicae · 387

A New Approach to the Word and Conjugacy Problems in the Braid Groups

1998 · Joan Birman, Ki Hyoung Ko, et al. · Advances in Mathematics · 361

Topological complex-energy braiding of non-Hermitian bands

2021 · Kai Wang, Avik Dutt, et al. · Nature · 323

Wonderful models of subspace arrangements

1995 · C. De Concini, C. Procesi · Selecta Mathematica · 309

Braid groups are linear

2000 · Stephen Bigelow · Journal of the American Mathematical Society · 287

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Works count: 4,636

Citation count: 58,720