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Graph Theoretic Method for Determining non Hurwitz Equivalence in the Braid Group and Symmetric group
M. Teicher, T. Ben-Itzhak
Motivated by the problem of Hurwitz equivalence of factorization in the braid group, we address the problem of Hurwitz equivalence in the symmetric group, obtained by project…
-classification of real arrangements with up to eight lines
David Garber, Mina Teicher, Uzi Vishne
One of the open questions in the geometry of line arrangements is to what extent does the incidence lattice of an arrangement determine its fundamental group. Line arrangements of…
Classes of wiring diagrams and their invariants
David Garber, Mina Teicher, Uzi Vishne
Wiring diagrams usually serve as a tool in the study of arrangements of lines and pseudolines. In this paper we go in the opposite direction, using known properties of line arrange…
Identifying Half-Twists Using Randomized Algorithm Methods
S. Kaplan, M. Teicher
Since the braid group was discovered by E. Artin, the question of its conjugacy problem has been solved by Garside and Birman, Ko and Lee. However, the solutions given thus far are…
BMT Invariants of Surfaces and 4-Manifolds
Mina Teicher
In this paper we present the Braid Monodromy Type (BMT) of curves and surfaces; past, present and future. The BMT is an invariant that can distinguish between non-isotopic curves;…
Properties of Hurwitz Equivalence in the Braid Group of Order n
M. Teicher, T. Ben-Itzhak
In this paper we prove certain Hurwitz equivalence properties in . Our main result is that every two Artin's factorizations of of the form $H_{i_1} ... H_{i_{n(n-1)}}…