output
19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

Showing math.GTShow all

113 papers · 1 filter

math.GT2025

Achiral Lefschetz fibrations and the moduli space of curves

Sardor Yakupov

Symplectic Lefschetz fibrations can be described via classifying maps with values in the Deligne-Mumford compactification of the moduli space of curves, by means of constructions r…

math.GT2024

Limits of limit sets in rank-one symmetric spaces

Antonin Guilloux, Theodore Weisman

We consider the question of continuity of limit sets for sequences of geometrically finite subgroups of isometry groups of rank-one symmetric spaces, and prove analogues of classic…

math.GT2024

Homotopy braid groups are torsion-free

Emmanuel Graff

We show that, for any number of components, the group of braids up to link-homotopy is torsion-free. This generalizes a result of Humphries up to six components, and provides an ex…

math.GT2024

Trace field degrees in the Torelli group

Erwan Lanneau, Livio Liechti

We show that for , all integers arise as trace field degrees of pseudo-Anosov mapping classes in the Torelli group of the closed orientable surface of ge…

math.GT2024

Polyhedral CAT(0) metrics on locally finite complexes

Karim A. Adiprasito, Louis Funar

We prove the arborescence of any locally finite complex that is with a polyhedral metric for which all vertex stars are convex. In particular locally finite cube…

math.GT2024

Lifting maps between graphs to embeddings

Alexey Gorelov

In this paper, we study conditions for the existence of an embedding such that , where $f \c…