Systolic volume of homology classes
Babenko, Ivan (Université Montpellier II. Institut de Mathématiques et de Modélisation de Montpellier)
Balacheff, Florent Nicolas (Université de Lille. Laboratoire Paul Painlevé)

Data:	2015
Resum:	Given an integer homology class of a finitely presentable group, the systolic volume quantifies how tight a geometric realization of this class could be. In this paper, we study various aspects of this numerical invariant showing that it is a complex and powerful tool for investigating topological properties of homology classes of finitely presentable groups.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Systolic volume ; Integer homology of a group ; Representability of a homology class
Publicat a:	Algebraic and Geometric Topology, Vol. 15, Issue 2 (April 2015) , p. 733-767, ISSN 1472-2739

DOI: 10.2140/agt.2015.15.733

Postprint 28 p, 555.3 KB

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