A combination theorem for Veech subgroups of the mapping class group
Christopher J. Leininger, Alan W. Reid
Abstract
In this paper we prove a combination theorem for Veech subgroups of the mapping class group analogous to the first Klein-Maskit combination theorem for Kleinian groups in which two Fuchsian subgroups are amalgamated along a parabolic subgroup. As a corollary, we construct subgroups of the mapping class group (for all genus at least 2), which are isomorphic to non-abelian closed surface groups in which all but one conjugacy class (up to powers) is pseudo-Anosov.
Create a lesson
Related papers
Chromatic Spherical and Renormalized Reshetikhin-Turaev Invariants for Drinfeld Centers
Nicolas Bridges, Shawn Cui, Nathan Geer
3-manifold decision problems and Riemann hypotheses
John A. Baldwin, Steven Sivek
On the (in)finiteness of fixed characters in genus 3
Yixuan Fu
Non-Pseudo-Arithmetic Hyperbolic 4-Manifolds
Alexander Kolpakov
Convex ribbon disks, quasipositivity, and Lagrangian sliceness
Joseph Breen, Alexander Zupan
A Smooth Shioda-Tate Isomorphism for Elliptically Fibered 4-Manifolds
Maria Morariu