Geodesic
Systolic volume of homology classes
Babenko, Ivan1 ; Balacheff, Florent2
1Institut de Mathématiques et de Modélisation de Montpellier, Université Montpellier 2, Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier Cedex, France
2Laboratoire Paul Painlevé, Université Lille 1, Bâtiment M2, Cité Scientifique, 59655 Villeneuve-d’Ascq Cedex, France
Algebraic and Geometric Topology, Tome 15 (2015) no. 2, pp. 733-767
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

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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.

DOI : 10.2140/agt.2015.15.733
Classification : 53C23, 20J06, 20F99
Keywords: systolic volume, integer homology of a group, representability of a homology class

Babenko, Ivan  1   ; Balacheff, Florent  2

1 Institut de Mathématiques et de Modélisation de Montpellier, Université Montpellier 2, Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier Cedex, France
2 Laboratoire Paul Painlevé, Université Lille 1, Bâtiment M2, Cité Scientifique, 59655 Villeneuve-d’Ascq Cedex, France 
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Babenko, Ivan; Balacheff, Florent. Systolic volume of homology classes. Algebraic and Geometric Topology, Tome 15 (2015) no. 2, pp. 733-767. doi: 10.2140/agt.2015.15.733

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