Results 111 to 120 of about 321 (123)
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The artin braid group actions on the set of spin structures on a surface
Hokkaido Mathematical Journal, 2023Let \(\Sigma_{g}\) 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
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New developments in the theory of Artin's braid groups
Topology and Its Applications, 2003 The author reviews some recent developments in the theory of the Artin braid groups. In particular, he sketches the three different proofs of Dehornoy's theorem, which states that the Artin braid groups are right-orderable [see \textit{P. Dehornoy}, Trans. Am. Math. Soc. 345, No. 1, 115-150 (1994; Zbl 0837.20048)].
Dale Rolfsen
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Artin’s braids, braids for three space, and groups Γn4 and Gnk
Journal of Knot Theory and Its Ramifications, 2019We 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, 2014We are studying the representations of Artin’s braid group Bn.
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Braid groups, Artin groups and their applications in cryptography
2009The 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, 1982Papers 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, 2018In 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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Torsion in the quotient group of the Artin-Brieskorn braid group and regular springer numbers
Functional Analysis and Its Applications, 1996Let \(W\) 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 \(W\)
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Representations of Artin’s braid groups and linking numbers of periodic orbits
Journal of Knot Theory and Its Ramifications, 1995Let 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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The conjugacy problem and virtually cyclic subgroups in the Artin braid group quotient B/[P,P]
Topology and Its Applications, 2021OSCAR Ocampo
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