The Two-Eigenvalue Problem and Density¶of Jones Representation of Braid Groups
By Michael H. Freedman, Michael Larsen, Zhenghan Wang. 2001
236 citations recorded by the source corpus.
Introduction 1. The two-eigenvalue problem 2. Hecke algebra representations of braid groups 3. Duality of Jones-Wenzl representations 4. Closed images of Jones-Wenzl sectors 5. Distribution of evaluations of Jones polynomials 6. Fibonacci representations
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/99398ae2c01be16d893b02b5eece20c7d0f03eec
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In Discrete Mathematics and Combinatorics
- Parsa Bonderson
- Eric C. Rowell
- Jennifer M. Franko
- Matthew Fisher
- Pavel Etingof
- Zhenghan Wang
- S. Witherspoon
- Michael Eisermann
In Geometry and Topology
- Parsa Bonderson
- Eric C. Rowell
- S. Witherspoon
- Jennifer M. Franko
- Matthew Fisher
- Pavel Etingof
- Zhenghan Wang
- Erez Berg
In Mathematical Physics
- Parsa Bonderson
- Eric C. Rowell
- S. Witherspoon
- Jennifer M. Franko
- Matthew Fisher
- Pavel Etingof
- Zhenghan Wang
- J. Alicea
Citations in the corpus
- A Finiteness Property for Braided Fusion Categories (2009, unknown): “Q A ] 1 5 D ec”
- Extraspecial 2-groups and images of braid group representations (2005, methodology): “Such representations are completely classified [3], so in principle the image groups of the irreducible constituents of πn can be identified by using the complete list in [3, Theorem 1.”
- Braid group representations from twisted quantum doubles of finite groups (2007, background): “This has been carried out to some extent for the braided tensor categories coming from quantum groups and polynomial link invariants at roots of unity [7, 8, 9, 10, 11, 12, 13].”
- Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure (2013, background): “Fibonacci anyon from the vacuum, is sufficient to perform any desired quantum computation in a completely faulttolerant manner [148,149].”
- Non-Abelian Anyons and Interferometry (2007, methodology): “The Fibonacci (Fib) anyon model (also known as SO(3)3, since it may be obtained from the SU(2)3 anyon model by restricting to integer j) 2 is known to be universal for topological quantum computation [135, 136].”