Systolic invariants of groups and 2-complexes via Grushko decomposition

DOI10.5802/aif.2369zbMath1142.53035arXivmath/0609379OpenAlexW1674112087MaRDI QIDQ931903

Yuli B. Rudyak, Stéphane Sabourau

Publication date: 4 July 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609379

zbMATH Keywords

systole2-complexsystolic ratioGrushko decompositionsystolic area

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Simplicial sets and complexes in algebraic topology (55U10) PL-topology (57Q99)

Related Items (12)

Relative systoles of relative-essential 2-complexes ⋮ Short loop decompositions of surfaces and the geometry of Jacobians ⋮ Bi-Lipschitz approximation by finite-dimensional imbeddings ⋮ Systolic volume of hyperbolic manifolds and connected sums of manifolds ⋮ Cohomological dimension, self-linking, and systolic geometry ⋮ Systolic geometry and simplicial complexity for groups ⋮ Hurwitz quaternion order and arithmetic Riemann surfaces ⋮ \(E_7\), Wirtinger inequalities, Cayley 4-form, and homotopy ⋮ Simplicial complexity of surface groups ⋮ Loewner's torus inequality with isosystolic defect ⋮ Growth of balls in the universal cover of surfaces and graphs ⋮ Systolic volume of homology classes

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