57 citations · 120 across the 34 of their papers we have counts for
6 papers · 1 filter
On the connection between affine and projective fundamental groups of line arrangements and curves
David Garber
In this note we prove a decomposition related to the affine fundamental group and the projective fundamental group of a line arrangement and a reducible curve with a line component…
Chromatic properties of generic planar configurations of points
Roland Bacher, David Garber
We study the Orchard relation for generic configurations of points in the plane (also called order types). We introduce infinitesimally-close points and analyse the relation of thi…
Length-based conjugacy search in the Braid group
D. Garber, S. Kaplan, M. Teicher +2
Several key agreement protocols are based on the following "Generalized Conjugacy Search Problem": Find, given elements b_1,...,b_n and xb_1x^{-1},...,xb_nx^{-1} in a nonabelian gr…
The fundamental group's structure of the complement of some configurations of real line arrangements
David Garber, Mina Teicher
In this paper, we give a fully detailed exposition of computing fundamental groups of complements of line arrangements using the Moishezon-Teicher technique for computing the braid…
Plane curves and their fundamental groups: Generalizations of Uludag's construction
David Garber
In this paper we investigate Uludag's method for constructing new curves whose fundamental groups are central extensions of the fundamental group of the original curve by finite cy…
Spindle configurations of skew lines
Roland Bacher, David Garber
We prove a conjecture of Crapo and Penne which characterizes isotopy classes of skew configurations with spindle-structure. We use this result in order to define an invariant, spin…