Article Dans Une Revue Algebraic and Geometric Topology Année : 2015

Distribution of the systolic volume of homology classes

Résumé

Given a pair (G,a) where G is a finitely presentable group and a is an integer homology class of this group, Gromov defined in his article "Filling Riemannian manifolds" a new numerical invariant associated to this pair called systolic volume. Our goal is to propose a systematic study of systolic volume as a function of the two variables G and a. In particular we focus on the distribution of the values of the systolic volume on the real line.

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hal-00517319 , version 1 (14-09-2010)

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Ivan K. Babenko, Florent Balacheff. Distribution of the systolic volume of homology classes. Algebraic and Geometric Topology, 2015, 15 (2), pp.733-767. ⟨10.2140/agt.2015.15.733⟩. ⟨hal-00517319⟩
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