Results 51 to 60 of about 14,402,713 (324)
Orbifold braid groups and complex braid groups
, 2023 A result of Allock [1](arXiv:math/9907194) states that certain orbifold braid groups contain Artin groups of type $D_n$, $\tilde{B}_n$ and $\tilde{D}_n$ as finite index subgroups. The underlying orbifolds have at most two cone points of order two. Based on [10](arXiv:2305.04273) and [12](arXiv:2305.04273), we generalize this result allowing cone points
openaire +2 more sources
Nonabelian braid statistics versus projective permutation statistics [PDF]
, 2002 Recent papers by Finkelstein, Galiautdinov, and coworkers {[J. Math. Phys. 42, 1489, 3299 (2001)]} discuss a suggestion by Wilczek that nonabelian projective representations of the permutation group can be used as a new type of particle statistics, valid
Read, N.
core +2 more sources
Mixed Braid Group Actions From Deformations of Surface Singularities [PDF]
, 2013 We consider a set of toric Calabi–Yau varieties which arise as deformations of the small resolutions of type A surface singularities. By careful analysis of the heuristics of B-brane transport in the associated gauged linear sigma models, we predict the ...
W. Donovan, E. Segal
semanticscholar +1 more source
Braid group and topological phase transitions in nonequilibrium stochastic dynamics. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2012 We show that distinct topological phases of the band structure of a non-Hermitian Hamiltonian can be classified with elements of the braid group. As the proof of principle, we consider the non-Hermitian evolution of the statistics of nonequilibrium ...
Jie Ren, N. Sinitsyn
semanticscholar +1 more source
The Interplay between Linear Representations of the Braid Group
International Journal of Mathematics and Mathematical Sciences, 2007 We consider Wada's representation as a twisted version of the standard action of the braid group, Bn, on the free group with n generators. Constructing a free group, Gnm, of rank nm, we compose Cohen's map Bn→Bnm and the embedding Bnm→Aut(Gnm) via Wada's
Mohammad N. Abdulrahim, Nibal H. Kassem
doaj +1 more source
Megamaps: Construction and Examples [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We consider the usual model of hypermaps or, equivalently, bipartite maps, represented by pairs of permutations that act transitively on a set of edges E.
Alexander Zvonkin
doaj +1 more source
Braid moves in commutation classes of the symmetric group [PDF]
European journal of combinatorics (Print), 2015 We prove that the expected number of braid moves in the commutation class of the reduced word (s1s2sn1)(s1s2sn2)(s1s2)(s1) for the long element in the symmetric group Sn is one.
A. Schilling +3 more
semanticscholar +1 more source
Categorified invariants and the braid group [PDF]
, 2012 We investigate two "categorified" braid conjugacy class invariants, one coming from Khovanov homology and the other from Heegaard Floer homology. We prove that each yields a solution to the word problem but not the conjugacy problem in the braid group.
John A. Baldwin, J. E. Grigsby
semanticscholar +1 more source
Embedding right-angled Artin groups into graph braid groups
, 2010 We construct an embedding of any right-angled Artin group $G(\Delta)$ defined by a graph $\Delta$ into a graph braid group. The number of strands required for the braid group is equal to the chromatic number of $\Delta$.
A. Abrams +10 more
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Three-Dimensional Integrable Models and Associated Tangle Invariants [PDF]
, 1994 In this paper we show that the Boltzmann weights of the three-dimensional Baxter-Bazhanov model give representations of the braid group, if some suitable spectral limits are taken.
A. B. Zamolodchikov +22 more
core +3 more sources