Results 61 to 70 of about 5,399,954 (113)
, 2023 The orbifold braid groups of two dimensional orbifolds were defined in [1] (arXiv:math/9907194) to understand certain Artin groups as subgroups of some suitable orbifold braid groups.
Roushon, S. K.
core
Unified invariant of knots from homological braid action on Verma modules
Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.Abstract We re‐build the quantum sl(2)${\mathfrak {sl}(2)}$ unified invariant of knots F∞$F_{\infty }$ from braid groups' action on tensors of Verma modules. It is a two variables series having the particularity of interpolating both families of colored Jones polynomials and ADO polynomials, that is, semisimple and non‐semisimple invariants of knots ...
Jules Martel, Sonny Willetts
wiley +1 more source
Artin braid groups and spin structures
, 2021 We study the action of the Artin braid group B_{2g+2} on the set of spin structures on a hyperelliptic curve of genus g, which reduces to that of the symmetric group. It has been already described in terms of the classical theory of Riemann surfaces.
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Integrable measure equivalence rigidity of right-angled Artin groups via quasi-isometry
, 2023 Let $G$ be a right-angled Artin group with $|\mathrm{Out}(G)|
Huang, Jingyin, Horbez, Camille
core
Orbifold braid groups and complex braid groups
, 2023 A result of Allock [1](arXiv:math/9907194) states that certain orbifold braid groups contain Artin groups of type $D_n$, $\tilde{B}_n$ and $\tilde{D}_n$ as finite index subgroups. The underlying orbifolds have at most two cone points of order two.
Flechsig, Jonas
core
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.
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Topological Complexity of Configuration Spaces [PDF]
, 2010 In this thesis we study the homotopy invariant TC(X); the topological complexity of a space X. This invariant, introduced by Farber in [15], was originally motivated by a problem in Robotics; the motion planning problem.
COSTA, ARMINDO,EMANUEL +1 more
core
Braid groups and mapping class groups for 2-orbifolds
, 2023 Flechsig J. Braid groups and mapping class groups for 2-orbifolds. Bielefeld: Universität Bielefeld; 2023.The main achievement of this thesis is that pure orbifold braid groups fit into an exact sequence 1$\\rightarrow$ $K$$\\rightarrow$$\\pi_1 ...
Flechsig, Jonas
core +1 more source
Commensurability invariance for abelian splittings of right-angled Artin groups, braid groups and loop braid groups [PDF]
Algebraic & Geometric Topology, 2019 We prove that if a right-angled Artin group $A_Γ$ is abstractly commensurable to a group splitting non-trivially as an amalgam or HNN-extension over $\mathbb{Z}^n$, then $A_Γ$ must itself split non-trivially over $\mathbb{Z}^k$ for some $k\le n$. Consequently, if two right-angled Artin groups $A_Γ$ and $A_Δ$ are commensurable and $Γ$ has no separating $
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Formal derivation of the Laughlin function and its generalization for other topological phases of FQHE. [PDF]
Sci Rep, 2022 Jacak JE.
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