Results 11 to 20 of about 834 (49)

The classification of partially symmetric 3-braid links

open access: yesOpen Mathematics, 2015
We classify 3-braid links which are amphicheiral as unoriented links, including a new proof of Birman- Menasco’s result for the (orientedly) amphicheiral 3-braid links. Then we classify the partially invertible 3-braid links.
Stoimenov Alexander
doaj   +1 more source

The $L^2$-(co)homology of groups with hierarchies [PDF]

open access: yes, 2014
We study group actions on manifolds that admit hierarchies, which generalizes the idea of Haken n-manifolds introduced by Foozwell and Rubinstein. We show that these manifolds satisfy the Singer conjecture in dimensions $n \le 4$. Our main application is
Okun, Boris, Schreve, Kevin
core   +1 more source

The mapping class group of a genus two surface is linear

open access: yes, 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

Combinatorial distance between braid words [PDF]

open access: yes, 2009
We give a simple naming argument for establishing lower bounds on the combinatorial distance between (positive) braid ...
Dehornoy, Patrick
core   +1 more source

Double coset problem for parabolic subgroups of braid groups [PDF]

open access: yes, 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

open access: yes, 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

New Invariants for surfaces

open access: yes, 1999
We take the fundamental group of the complement of the branch curve of a generic projection induced from canonical embedding of a surface. This group is stable on connected components of moduli spaces of surfaces. Since for many classes of surfaces it is
Teicher, Mina
core   +1 more source

On the unrestricted virtual singular braid

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let n, m ∈ ℕ, n ≥ 3 and n ≥ m ≥ 2. In this paper, we study some properties of the unrestricted virtual singular braid of braid monoid UVSBmn and group UVSGmn.
Ligouras Panagiote
doaj   +1 more source

Defeating the Ben-Zvi, Blackburn, and Tsaban Attack on the Algebraic Eraser [PDF]

open access: yes, 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

On an action of the braid group B_{2g+2} on the free group F_{2g}

open access: yes, 2013
We construct an action of the braid group B_{2g+2} on the free group F_{2g} extending an action of B_4 on F_2 introduced earlier by Reutenauer and the author.
Birman J. S.   +3 more
core   +1 more source

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