Results 31 to 40 of about 5,399,954 (113)
On representations of Artin–Tits and surface braid groups
Journal of Group Theory, 2011 AbstractWe define and study extensions of the Artin and Perron–Vannier representations of braid groups to topological and algebraic generalizations of braid groups. We provide faithful representations of braid groups of oriented surfaces with boundary as automorphisms of finitely generated free groups.
Bardakov, Valeriy G., Bellingeri, Paolo
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Braid groups and Artin groups [PDF]
, 2009 This article is a survey on the braid groups, the Artin groups, and the Garside groups. It is a presentation, accessible to non-experts, of various topological and algebraic aspects of these groups. It is also a report on three points of the theory: the faithful linear representations, the cohomology, and the geometrical representations.
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Hereditary conjugacy separability of right angled Artin groups and its applications
, 2012 We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups.
Minasyan, Ashot
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Intersection of parabolic subgroups in Euclidean braid groups: a short proof
Comptes Rendus. MathématiqueWe give a short proof for the fact, already proven by Thomas Haettel, that the arbitrary intersection of parabolic subgroups in Euclidean Braid groups $A[\tilde{A}_n]$ is again a parabolic subgroup. To that end, we use that the spherical-type Artin group
Cumplido, María +2 more
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Some Aspects of Mathematical and Physical Approaches for Topological Quantum Computation [PDF]
Computer Science Journal of Moldova, 2011 A paradigm to build a quantum computer, based on topological invariants is highlighted. The identities in the ensemble of knots, links and braids originally discovered in relation to topological quantum field theory are shown: how they define Artin ...
V. Kantser
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Complexes and exactness of certain Artin groups
, 2011 In his work on the Novikov conjecture, Yu introduced Property A as a readily verified criterion implying coarse embeddability. Studied subsequently as a property in its own right, Property A for a discrete group is known to be equivalent to C*-exactness ...
Guentner, Erik +3 more
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ON ARTIN'S BRAID GROUP AND POLYCONVEXITY IN THE CALCULUS OF VARIATIONS [PDF]
Journal of the London Mathematical Society, 2003 Summary: Let \(\Omega \subset \mathbb{R}^2\) be a bounded Lipschitz domain and let \(F: \Omega \times \mathbb{R}_+^{2\times 2}\to \mathbb{R}\) be a Carathéodory integrand such that \(F(x,\cdot)\) is polyconvex for \({\mathcal L}^2\)-a.e. \(x\in \Omega\).
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The L-two cohomology of Artin groups
, 2003 For each Artin group we compute the reduced ℓ2-cohomology of its 'Salvetti complex'. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. When this conjecture is known to hold our calculation describes the
Leary, I.J., Davis, M.W.
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Braided finite automata and representation theory
Nuclear Physics BWe introduce classical and non-deterministic finite automata associated with representations of the braid group. After briefly reviewing basic definitions on finite automata, Coxeter’s groups and the associated word problem, we turn to the Artin ...
Anastasia Doikou
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The Lp$L^p$‐diameter of the space of contractible loops
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We prove that the space of contractible simple loops of a given fixed area in any compact oriented surface has infinite diameter as a homogeneous space of the group of area‐preserving diffeomorphisms endowed with the Lp$L^p$‐metric. As a special case, this resolves the Lp$L^p$‐metric analog of the well‐known question in symplectic topology ...
Michael Brandenbursky, Egor Shelukhin
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