57 citations · 120 across the 34 of their papers we have counts for
13 papers · 1 filter
On the structure of fundamental groups of conic-line arrangements having a cycle in their graph
Michael Friedman, David Garber
The fundamental group of the complement of a plane curve is a very important topological invariant. In particular, it is interesting to find out whether this group is determined by…
On the structure of conjugation-free fundamental groups of conic-line arrangements
Michael Friedman, David Garber
The fundamental group of the complement of a hyperplane arrangement plays an important role in studying the corresponding arrangements. In particular, for large families of hyperpl…
A conjugation-free geometric presentation of fundamental groups of arrangements II: Expansion and some properties
Meital Eliyahu, David Garber, Mina Teicher
A conjugation-free geometric presentation of a fundamental group is a presentation with the natural topological generators and the cyclic relations: $x_{i_k}x_{i_{k…
Conjugation-free geometric presentations of fundamental groups of arrangements
Meital Eliyahu, David Garber, Mina Teicher
We introduce the notion of a conjugation-free geometric presentation for a fundamental group of a line arrangement's complement, and we show that the fundamental groups of the foll…
On the fundamental group of the complement of two tangent conics and an arbitrary number of tangent lines
Meirav Amram, David Garber, Mina Teicher
We compute the fundamental groups of the complements of the family of real conic-line arrangements with up to two conics which are tangent to each other at two points, with an arbi…
Palindromic Braids
F. Deloup, D. Garber, S. Kaplan +1
The braid group , endowed with Artin's presentation, admits an antiautomorphism , such that is defined by reading braids in reverse orde…
Local braid monodromies and local fundamental groups of tangented conic-line arrangements
Meirav Amram, David Garber, Mina Teicher
This paper is the first part of a series of three papers about the fundamental groups of conic-line arrangements consist of two tangented conics and up to two additional tangented…
Fundamental groups of Tangent Conic-Line arrangements with Singularities up to order 6
Meirav Amram, David Garber, Mina Teicher
We list all the possible fundamental groups of the complements of real conic-line arrangements with two conics which are tangent to each other at two points, with up to two additio…
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…
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…