On the origin and development of subfactors and quantum topology
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Publication:3623562
DOI10.1090/S0273-0979-09-01244-0zbMath1169.46030OpenAlexW2126040942MaRDI QIDQ3623562
Publication date: 21 April 2009
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0273-0979-09-01244-0
History of mathematics in the 20th century (01A60) Free probability and free operator algebras (46L54) Axiomatic quantum field theory; operator algebras (81T05) Subfactors and their classification (46L37) History of relativity and gravitational theory (83-03)
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Cites Work
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- The classification of alternating links
- The reversing result for the Jones polynomial
- A spanning tree expansion of the Jones polynomial
- State models and the Jones polynomial
- Jones polynomials and classical conjectures in knot theory
- Hecke algebra representations of braid groups and link polynomials
- Infinite conformal symmetry in two-dimensional quantum field theory
- Current algebras and Wess-Zumino model in two dimensions
- Hecke algebras of type \(A_ n\) and subfactors
- Quantum field theory and the Jones polynomial
- Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
- Three-manifold invariants derived from the Kauffman bracket
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators
- Standard \(\lambda\)-lattices from quantum groups
- Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\)
- Algebras associated to intermediate subfactors
- On spin models, modular invariance, and duality
- New integrable lattice models from Fuss-Catalan algebras
- On the Vassiliev knot invariants
- Index of subfactors and statistics of quantum fields. I
- Superselection sectors with braid group statistics and exchange algebras
- Index for subfactors
- Infinite families of links with trivial Jones polynomial
- Classification of amenable subfactors of type II
- An axiomatization of the lattice of higher relative commutants of a subfactor
- A categorification of the Jones polynomial
- Invariants of 3-manifolds via link polynomials and quantum groups
- Knot polynomials and Vassiliev's invariants
- Chern-Simons theory, analytic continuation and arithmetic
- Random matrices, free probability, planar algebras and subfactors
- Intermediate subfactors with no extra structure
- Positivity of the universal pairing in 3 dimensions
- A polynomial invariant for knots via von Neumann algebras
- A new polynomial invariant of knots and links
- Seifert circles and knot polynomials
- Braids and the Jones Polynomial
- Outer conjugacy classes of automorphisms of factors
- đ¶* tensor categories from quantum groups
- LINKS WITH TRIVIAL JONES POLYNOMIAL
- An Invariant of Regular Isotopy
- Topological quantum computation
- Subfactors Constructed from Quantum Groups
- Relations between the âpercolationâ and âcolouringâ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the âpercolationâ problem
- Braid groups are linear
- Braid groups are linear