74 citations · 90 across the 7 of their papers we have counts for
8 papers
Richard Thompson group F is not amenable
Bronislaw Wajnryb, Pawel Witowicz
Richard Thompson's group F is the group of piecewise linear homeomorphisms of the unit interval with a finite number of break points, all at dyadic rational numbers (their denomina…
A parabolic action on a proper, CAT(0) cube complex
Yael Algom-Kfir, Bronislaw Wajnryb, Pawel Witowicz
We consider diagram groups as defined by V. Guba and M. Sapir. A diagram group G acts on the associated cube complex K by isometries. It is known that if a cube complex L is of a f…
Moduli spaces of surfaces and monodromy invariants
Fabrizio Catanese, Michael Lönne, Bronislaw Wajnryb
This paper is a survey of the authors' recent results on "abc-surfaces" and the monodromy of their natural Lefschetz fibrations and projections to P^1 x P^1, see (arXiv:0910.2142).…
Moduli spaces and braid monodromy types of bidouble covers of the quadric
Fabrizio Catanese, Michael Lönne, Bronislaw Wajnryb
Bidouble covers of the quadric Q are parametrized by connected families depending on four positive integers a,b,c,d. In the special case where b=d we call them abc…
Dynamics of shear homeomorphisms of tori and the Bestvina-Handel algorithm
Tali Pinsky, Bronislaw Wajnryb
Sharkovskii proved that the existence of a periodic orbit in a one-dimensional dynamical system implies existence of infinitely many periodic orbits. We obtain an analog of Sharkov…
The 3-cuspidal quartic and braid monodromy of degree 4 coverings
Fabrizio Catanese, Bronislaw Wajnryb
We study the discriminant of a degree 4 extension given by a deformed bidouble cover, i.e., by equations z^2= u + a w, w^2= v + bz. We first show that the discriminant surface is a…