Results 71 to 80 of about 104 (85)

The artin braid group actions on the set of spin structures on a surface

Hokkaido Mathematical Journal, 2023
Let \(\Sigma_{g}\) be a compact connected oriented surface of genus \(g\), which admits a branched 2-fold covering \(\varphi : \Sigma_{g} \rightarrow S^{2}\) with \(2g+2\) branch points. Regarding \(S^{2}\) as a as the Riemann sphere \(\mathbb{C}P^{1}\), the map \(\varphi\) defines the structure of an hyperelliptic curve on \(\Sigma_{g}\). The branched
exaly   +2 more sources

Torsion in the quotient group of the Artin-Brieskorn braid group and regular springer numbers

Functional Analysis and Its Applications, 1996
Let \(W\) be a finite Coxeter group acting on the complex vector space \(V\) and denote by \(Y\) the complement of the set of fixed points of elements of \(W\). Then the fundamental group of \(Y\) is the generalized Artin-Brieskorn braid group \(B(W)\) [\textit{E. Brieskorn}, Invent. Math. 12, 57-61 (1971; Zbl 0204.56502)]. We obtain an action of \(W\)
O V Shvartsman
exaly   +2 more sources

ARTIN COVERS OF THE BRAID GROUPS

Journal of Knot Theory and Its Ramifications, 2012
Computation of fundamental groups of Galois covers recently led to the construction and analysis of Coxeter covers of the symmetric groups [L. H. Rowen, M. Teicher and U. Vishne, Coxeter covers of the symmetric groups, J. Group Theory8 (2005) 139–169]. In this paper we consider analog covers of Artin's braid groups, and completely describe the induced ...
Amram, Meirav, Lawrence, Ruth, Vishne, Uzi   +2 more
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Braid lift representations of Artin's Braid Group

Journal of Knot Theory and Its Ramifications, 2000
We recast the braid-lift representation of Contantinescu, Lüdde and Toppan in the language of B-type braid theory. Composing with finite dimensional representations of these braid groups we obtain various sequences of finite dimensional multi-parameter representations.
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Artin’s braids, braids for three space, and groups Γn4 and Gnk

Journal of Knot Theory and Its Ramifications, 2019
We construct a group [Formula: see text] corresponding to the motion of points in [Formula: see text] from the point of view of Delaunay triangulations. We study homomorphisms from pure braids on [Formula: see text] strands to the product of copies of [Formula: see text].
S. Kim, V. O. Manturov
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On certain representations of Artin braid group

Studia Scientiarum Mathematicarum Hungarica, 2014
We are studying the representations of Artin’s braid group Bn.
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Braid groups, Artin groups and their applications in cryptography

2009
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 form which can be efficiently handled by computers, (ii) an algorithm which computes an unfaithful ...
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Artin braids and the groups and spaces connected with them

Journal of Soviet Mathematics, 1982
Papers on braid theory and some of its generalization and applications, reviewed in Referativnyi Zhurnal “Matematika” during 1953–1977, as well as individual papers on an earlier period, are surveyed.
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Majorana fermions and representations of the artin braid group

Quantum Information Science, Sensing, and Computation X, 2018
In this paper we study unitary braid group representations associated with Majorana Fermions. Majorana Fermions are represented by Majorana operators, elements of a Clifford algebra. The paper recalls and proves a general result about braid group representations associated with Clifford algebras, and compares this result with the Ivanov braiding ...
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Representations of Artin’s braid groups and linking numbers of periodic orbits

Journal of Knot Theory and Its Ramifications, 1995
Let P be a periodic orbit of period n≥3 of an orientation-preserving homeomorphism f of the 2-disc. Let q be the least integer greater than or equal to n/2−1. Then f admits a periodic orbit Q of period less than or equal to q such that the linking number of P about Q is non-zero.
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