Results 71 to 80 of about 321 (123)
Configuration spaces of thick particles on graphs [PDF]
In this thesis, we study the topology of configuration spaces of particles of variable radius r>0 moving on a metric graph. Our main tool is a piecewise linear (PL) Morse-Bott theory for affine polytope complexes, which extends the Morse theory for such ...
DEELEY, KENNETH
core
REPRESENTATIONS OF BRAID GROUPS AND GENERALISATIONS
Few misprints corrected, simpler proof for proposition 10We define and study extensions of Artin's representation and braid monodromy representation to the case of topological and algebraical generalisations of braid groups.
Bardakov, Valerij, G., Bellingeri, Paolo
core
On the cohomology rings of tree braid groups
Let Γ be a finite connected graph. The (unlabelled) configuration space UCnΓ of n points on Γ is the space of n-element subsets of Γ. The n-strand braid group of Γ, denoted BnΓ, is the fundamental group of UCnΓ.We use the methods and results of [Daniel ...
Sabalka, Lucas, Farley, Daniel
core +1 more source
Automorphism groups of some pure braid groups
We find finite presentations for the automorphism group of the Artin pure braid group and the automorphism group of the pure braid group associated to the full monomial ...
Cohen, Daniel C.
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Flat braid groups, right-angled Artin groups, and commensurability
27 pages, 11 figures. Comments are welcome!
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On Braid Groups, Free Groups, and the Loop Space of the 2-sphere
The purpose of this article is to describe a connection between the single loop space of the 2-sphere, Artin's braid groups, a choice of simplicial group whose homotopy groups are given by modules called Lie(n), as well as work of Milnor [17, 18 ...
J. Wu, F.R. Cohen, F. R. Cohen
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A GEOMETRIC AND ALGEBRAIC DESCRIPTION OF ANNULAR BRAID GROUPS
¢¡¤£¦¥¨§¤©¨ ¥ We provide a new presentation for the annular braid group. The annular braid group is known to be isomorphic to the finite type Artin group with Coxeter graph Bn.
Richard P. Kent Iv, David Peifer
core
On one-dimensional sigma-invariants of Artin groups [PDF]
Orientador: Dessislava Hristova KochloukovaTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação CientíficaResumo: A teoria de ?-invariantes surgiu do trabalho de Bieri e Strebel, que definiram o primeiro
Almeida, Kisnney Emiliano de, 1984-
core
Matrix representations of Artin groups
We define matrix representations of Artin groups over a 2 2 -variable Laurent-polynomial ring and show that in the rank 2 case, the representations are faithful. In the special case of Artin’s braid group, our representation is a version
Craig C. Squier
core +1 more source
Explanation of [Formula: see text] fractional quantum Hall state in bilayer graphene. [PDF]
Jacak J, Jacak L.
europepmc +1 more source

