Results 51 to 60 of about 321 (123)
On the cycling operation in braid groups [PDF]
, 2008 The cycling operation is a special kind of conjugation that can be applied to elements in Artin’s braid groups, in order to reduce their length. It is a key ingredient of the usual solutions to the conjugacy problem in braid groups.
Gebhardt, Volker +3 more
core +1 more source
Braid groups, Artin groups and their applications in cryptography
, 2003 The aim of this article is to show how the braid groups can serve as a good platform to enrich cryptography. Braid groups are useful to cryptography for a number of reasons: (i) the word problem is solved via a fast algorithm which computes the canonical
Webster, Catherine
core
Collision-free motions of round robots on metric graphs [PDF]
, 2013 In this thesis, we study the path-connectivity problem of configuration spaces of two robots that move without collisions on a connected metric graph. The robots are modelled as metric balls of positive radii.
SAFI-SAMGHABADI, MARJAN
core
Braid pictures for Artin groups
, 1998 We dene the braid groups of a two-dimensional orbifold and introduce conventions for drawing braid pictures. We use these to realize the Artin groups associated to the spherical Coxeter diagrams an , bn = cn and dn and the aÆne diagrams An , Bn , Cn and
Daniel Allcock
core
Algorithms in Braid Groups [PDF]
, 2003 Braid Groups have recently been considered for use in Public-Key Cryptographic Systems. The most notable of these system has been the Birman-Ko-Lee system presented at Crypto 2000.
Matthew J. Campagna
core
Lower central series, surface braid groups, surjections and permutations
, 2022 International audienceGeneralising previous results on classical braid groups by Artin and Lin, we determine the values of m, n ∈ N for which there exists a surjection between the n-and m-string braid groups of an orientable surface without boundary ...
Lima Gonçalves, Daciberg +2 more
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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
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
The integer cohomology of toric Weyl arrangements [PDF]
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then ...
Simona Settepanella
core
Linearity of Artin groups of finite type
, 2002 Recent results on the linearity of braid groups are extended in two ways. We generalize the Lawrence Krammer representation as well as Krammer's faithfulness proof for this linear representation to Artin groups of finite ...
Wales, DB David +3 more
core +1 more source