4 papers
Polynomial filling functions of sublevel sets in cube complexes
Jannis Weis
We give a criterion ensuring that sufficiently high sublevel sets of a discrete Morse function on a cube complex have polynomial integral homological filling func…
A Brown Theorem for Dehn functions of graphs of groups
Claudio Llosa Isenrich, Jannis Weis
We prove an upper bound on the Dehn function of a group acting cellularly, cocompactly, and without inversions on a simply connected CW complex in terms of the Dehn functio…
Polynomial homological Dehn functions from non-proper actions
Roman Sauer, Jannis Weis
We establish a homological algebra framework for proving polynomiality of higher homological Dehn functions of groups. As an application, we show a combination theorem for polynomi…
Quasi-Isometry Invariance of discrete Higher Filling Functions
Jannis Weis
We prove that homological filling functions over a ring equipped with the discrete norm are quasi-isometry invariants for all groups of type . This confirms a co…