Convex-cocompact subgroups of the Goeritz group
Bena Tshishiku
TL;DR
This paper proves that certain finitely-generated subgroups of the genus-2 Goeritz group are convex cocompact within the genus-2 mapping class group, highlighting their geometric properties.
Contribution
It establishes the convex cocompactness of purely pseudo-Anosov subgroups of the genus-2 Goeritz group, a new result in geometric group theory.
Findings
Finitely-generated, purely pseudo-Anosov subgroups are convex cocompact.
Convex cocompactness holds within the genus-2 mapping class group.
Provides new insights into the structure of the Goeritz group.
Abstract
We show that finitely-generated, purely pseudo-Anosov subgroups of the genus-2 Goeritz group are convex cocompact in the genus-2 mapping class group.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology