chabauty topology 1combination theorem 1convex cocompact 1group paths 1hyperbolic geometry 1kleinian groups 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.GT2026
Combinations and chromatography of paths of Kleinian groups
Matthew Zevenbergen
The paper investigates continuous families of torsion‑free discrete subgroups of the isometry group of hyperbolic space, proving a combination theorem for such paths and introducin…
math.GT2026
Connectivity in the space of framed hyperbolic 3-manifolds
Matthew Zevenbergen
We prove that the space of framed infinite volume hyperbolic -manifolds is connected but not path connected. Two proofs of connectivity of this space, which…
math.GT2025
Systolic lattice extensions of classical Schottky groups
Junzhi Huang, Matthew Zevenbergen
We produce lattice extensions of a dense family of classical Schottky subgroups of the isometry group of -dimensional hyperbolic space. The extensions produced are said to be sy…