Distribution of the systolic volume of homology classes

Details Distribution of the systolic volume of homology classes Distribution of the systolic volume of homology classes

2010-09-15

arxiv.org/abs/1009.2835v1

Mathematics

Differential Geometry

Scientific paper

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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