P. Brinkmann

activity

19992003

collaborators

5 papers

math.GT2003

A note on pseudo-Anosov maps with small growth rate

Peter Brinkmann

We present an explicit sequence of pseudo-Anosov maps $ϕ_{k} : S_{2 k} \to S_{2 k}$ of surfaces of genus $2 k$ whose growth rates converge to one.

math.GR2001

Splittings of mapping tori of free group automorphisms

Peter Brinkmann

We present necessary and sufficient conditions for the existence of a splitting over $Z$ of the mapping torus $M_{ϕ} = F ⋊ Z$ of a free group automorphism $ϕ$ .

math.GT2000

Computing Triangulations of Mapping Tori of Surface Homeomorphisms

Peter Brinkmann, Saul Schleimer

We present the mathematical background of a software package that computes triangulations of mapping tori of surface homeomorphisms, suitable for Jeff Weeks's program SnapPea. It c…

math.GR1999

Hyperbolic automorphisms of free groups

Peter Brinkmann

We prove that an automorphism $ϕ : F \to F$ of a finitely generated free group $F$ is hyperbolic in the sense of Gromov if it has no nontrivial periodic conjugacy classes.

math.GR1999

An Implementation of the Bestvina-Handel Algorithm for Surface Homeomorphisms

Peter Brinkmann

Bestvina and Handel have found an effective algorithm that determines whether a given homeomorphism of an orientable, possibly punctured surface is pseudo-Anosov. We present a soft…