Results 11 to 20 of about 816 (30)
Affine configurations and pure braids [PDF]
, 2008 We show that the fundamental group of the space of ordered affine-equivalent configurations of at least five points in the real plane is isomorphic to the pure braid group modulo its centre.
A. Björner +9 more
core +3 more sources
Braid groups in complex Grassmannians [PDF]
, 2013 We describe the fundamental group and second homotopy group of ordered $k-$point sets in $Gr(k,n)$ generating a subspace of fixed dimension.Comment: 10 ...
Manfredini, Sandro, Settepanella, Simona
core +4 more sources
Twisted Morita-Mumford classes on braid groups [PDF]
, 2008 Evaluating the twisted Morita-Mumford classes bar(h)_p on the Artin braid group B_n, we give the stable algebraic independence of the bar(h)_p's on the automorphism group of the free group, Aut(F_n).
Kawazumi, Nariya
core +3 more sources
Fixed points of endomorphisms of graph groups
, 2012 It is shown, for a given graph group $G$, that the fixed point subgroup Fix$\,\varphi$ is finitely generated for every endomorphism $\varphi$ of $G$ if and only if $G$ is a free product of free abelian groups. The same conditions hold for the subgroup of
Rodaro, Emanuele +2 more
core +1 more source
Combinatorial distance between braid words [PDF]
, 2009 We give a simple naming argument for establishing lower bounds on the combinatorial distance between (positive) braid ...
Dehornoy, Patrick
core +1 more source
The mapping class group of a genus two surface is linear
, 2001 In this paper we construct a faithful representation of the mapping class group of the genus two surface into a group of matrices over the complex numbers.
Farkas +6 more
core +1 more source
Double coset problem for parabolic subgroups of braid groups [PDF]
, 2015 We provide the first solution to the double coset problem (DCP) for a large class of natural subgroups of braid groups, namely for all parabolic subgroups which have a connected associated Coxeter graph.
Kalka, Arkadius +2 more
core
Dynnikov coordinates on virtual braid groups
, 2011 We define Dynnikov coordinates on virtual braid groups. We prove that they are faithful invariants of virtual 2-braids, and present evidence that they are also very powerful invariants for general virtual ...
Bardakov, Valerij G. +2 more
core +3 more sources
On the skein polynomial for links
, 2016 We give characterizations of the skein polynomial for links (as well as Jones and Alexander-Conway polynomials derivable from it), avoiding the usual "smoothing of a crossing" move. As by-products we have characterizations of these polynomials for knots,
Jiang, Boju, Wang, Jiajun, Zheng, Hao
core +2 more sources
Defeating the Ben-Zvi, Blackburn, and Tsaban Attack on the Algebraic Eraser [PDF]
, 2016 The Algebraic Eraser Diffie-Hellman (AEDH) protocol was introduced in 2005 and published in 2006 by Anshel-Anshel-Goldfeld-Lemieux as a protocol suitable for use on platforms with constrained computational resources, such as FPGAs, ASICs, and wireless ...
Anshel, Iris +3 more
core +1 more source