Combinatorial higher dimensional isoperimetry and divergence

DOI10.1142/S1793525319500225OpenAlexW2963531529MaRDI QIDQ5242899

Cornelia Drutu, Jason A. Behrstock

Publication date: 7 November 2019

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01518

zbMATH Keywords

non-positive curvaturedivergenceisoperimetric function

Mathematics Subject Classification ID

Geometric group theory (20F65) Length, area, volume, other geometric measure theory (28A75) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (2)

Helly meets Garside and Artin ⋮ Higher dimensional divergence for mapping class groups

Cites Work

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• Compactness for manifolds and integral currents with bounded diameter and volume
• The asymptotic rank of metric spaces
• Homological and homotopical higher-order filling functions.
• Asymptotic geometry of the mapping class group and Teichmüller space
• Divergence, thick groups, and short conjugators
• Snowflake groups, Perron-Frobenius eigenvalues and isoperimetric spectra.
• Filling Riemannian manifolds
• Mappings that minimize area in their homotopy classes
• The local structure of length spaces with curvature bounded above
• Quadratic divergence of geodesics in CAT(0) spaces
• Divergence in 3-manifold groups
• On the asymptotic cone of groups satisfying a quadratic isoperimetric inequality
• Higher connectedness of asymptotic cones.
• Corank and asymptotic filling-invariants for symmetric spaces
• Equivalence of geometric and combinatorial Dehn functions.
• Higher dimensional divergence for mapping class groups
• On the filling invariants at infinity of Hadamard manifolds
• Normal and integral currents
• Isoperimetric inequalities of Euclidean type in metric spaces
• Pushing fillings in right-angled Artin groups
• POLYNOMIAL DEHN FUNCTIONS AND THE LENGTH OF ASYNCHRONOUSLY AUTOMATIC STRUCTURES
• Filling invariants at infinity and the Euclidean rank of Hadamard spaces
• Divergence in lattices in semisimple Lie groups and graphs of groups
• Filling-invariants at infinity for manifolds of nonpositive curvature
• Higher dimensional isoperimetric (or Dehn) functions of groups
• Isodiametric and Isoperimetric Inequalities for Complexes and Groups
• Homological and homotopical Dehn functions are different
• Currents in metric spaces

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