Results 21 to 30 of about 14,402,713 (324)
The 2-braid group and Garside normal form [PDF]
Mathematische Zeitschrift, 2015 We investigate the relation between the Garside normal form for positive braids and the 2-braid group defined by Rouquier. Inspired by work of Brav and Thomas we show that the Garside normal form is encoded in the action of the 2-braid group on a certain
L. T. Jensen
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Journal of Knot Theory and Its Ramifications, 2012 Let Hgbe a genus g handlebody and MCG2n( Tg) be the group of the isotopy classes of orientation preserving homeomorphisms of Tg= ∂ Hg, fixing a given set of 2n points. In this paper we study two particular subgroups of MCG2n( Tg) which generalize Hilden groups defined by Hilden in [Generators for two groups related to the braid groups, Pacific J.
Bellingeri, P, CATTABRIGA, ALESSIA
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The virtual and universal braids [PDF]
, 2004 We study the structure of the virtual braid group. It is shown that the virtual braid group is a semi--direct product of the virtual pure braid group and the symmetric group.
Bardakov, Valerij G.
core +1 more source
Contractible stability spaces and faithful braid group actions [PDF]
Geometry and Topology, 2014 We prove that any `finite-type' component of a stability space of a triangulated category is contractible. The motivating example of such a component is the stability space of the Calabi--Yau-$N$ category $\mathcal{D}(\Gamma_N Q)$ associated to an ADE ...
Y. Qiu, J. Woolf
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Stable decompositions for some symmetric group characters arising in braid group cohomology
Journal of Combinatorial Theory - Series A, 2011 D. Hemmer
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Applied Categorical Structures, 2013 We introduce and study a family of groups $\mathbf{BB}_n$, called the blocked-braid groups, which are quotients of Artin's braid groups $\mathbf{B}_n$, and have the corresponding symmetric groups $ _n$ as quotients. They are defined by adding a certain class of geometrical modifications to braids.
Maglia, D. +2 more
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Local unitary representations of the braid group and their applications to quantum computing [PDF]
, 2016 We provide an elementary introduction to topological quantum computation based on the Jones representation of the braid group. We first cover the Burau representation and Alexander polynomial. Then we discuss the Jones representation and Jones polynomial
Colleen Delaney +2 more
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LOCAL REPRESENTATIONS OF THE LOOP BRAID GROUP [PDF]
Glasgow Mathematical Journal, 2014 We study representations of the loop braid group LB n from the perspective of extending representations of the braid group $\mathcal{B}$ n . We also pursue a generalization of the braid/Hecke/Temperlely–Lieb paradigm – uniform finite dimensional quotient
Z. Kádár +3 more
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q-deformed rational numbers and the 2-Calabi–Yau category of type $A_{2}$
Forum of Mathematics, Sigma, 2023 We describe a family of compactifications of the space of Bridgeland stability conditions of a triangulated category, following earlier work by Bapat, Deopurkar and Licata. We particularly consider the case of the 2-Calabi–Yau category of the $A_2$
Asilata Bapat +2 more
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Universal deformations of the finite quotients of the braid group on 3 strands [PDF]
, 2015 We prove that the quotients of the group algebra of the braid group on 3 strands by a generic quartic and quintic relation respectively, have finite rank.
Eirini Chavli
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