Results 61 to 70 of about 3,993 (104)
Unified invariant of knots from homological braid action on Verma modules
Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.Abstract We re‐build the quantum sl(2)${\mathfrak {sl}(2)}$ unified invariant of knots F∞$F_{\infty }$ from braid groups' action on tensors of Verma modules. It is a two variables series having the particularity of interpolating both families of colored Jones polynomials and ADO polynomials, that is, semisimple and non‐semisimple invariants of knots ...
Jules Martel, Sonny Willetts
wiley +1 more source
On certain permutation representations of the braid group. Part II [PDF]
, 2010 In arXiv:0910.1727 we find certain finite homomorphic images of Artin braid group into appropriate symmetric groups, which a posteriori are extensions of the symmetric group on n letters by an abelian group.
Iliev, Valentin Vankov
core
Path integral representation of the Artin braid group
Physics Letters B, 1991 Abstract Using Feynman kernels, a representation of the Artin braid group is explicitly constructed. The Schrodinger equations associated to the kernels turn out to be intimately related to the Knizhnik-Zamolodchikov equations. The representation space includes the space of correlation functions of the Wess-Zumino-Witten models.
Lai, C.H., Ting, C.
openaire +2 more sources
, 2004 This article is about Artin's braid group and its role in knot theory. We set ourselves two goals: (i) to provide enough of the essential background so that our review would be accessible to graduate students, and (ii) to focus on those parts of the ...
Birman, Joan S., Brendle, Tara E.
core +1 more source
Topological complexity of subgroups of Artin's braid groups
, 2016 v2: 12 pages, added Section 6 on higher topological ...
Grant, Mark, Recio-Mitter, David
openaire +2 more sources
Formal derivation of the Laughlin function and its generalization for other topological phases of FQHE. [PDF]
Sci Rep, 2022 Jacak JE.
europepmc +1 more source
BMW algebras of simply laced type
, 2003 It is known that the recently discovered representations of the Artin groups of type A_n, the braid groups, can be constructed via BMW algebras. We introduce similar algebras of type D_n and E_n which also lead to the newly found faithful representations
Cohen, A. M. +2 more
core +1 more source
Complete simultaneous conjugacy invariants in Artin's braid groups
, 2014 We solve the simultaneous conjugacy problem in Artin's braid groups and, more generally, in Garside groups, by means of a complete, effectively computable, finite invariant. This invariant generalizes the one-dimensional notion of super summit set to arbitrary dimensions.
Kalka, Arkadius +2 more
openaire +2 more sources
Perverse schobers and Orlov equivalences. [PDF]
Eur J Math, 2023 Koseki N, Ouchi G.
europepmc +1 more source
A representation of generalized braid group in classical braid group
, 2000 We ask if any finite type generalized braid group is a subgroup of some classical Artin braid group. We define a natural map from a given finite type generalized braid group to a classical braid group and ask if this map is an injective homomorphism.
Roushon, S. K.
core +1 more source