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arXiv · 1009.2835

Systolic volume of homology classes

Ivan K. Babenko·Florent Balacheff
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Abstract

Given an integer homology class of a finitely presentable group, the systolic volume quantifies how tight could be a geometric realization of this class. In this paper, we study various aspects of this numerical invariant showing that it is a complex and powerful tool to investigate topological properties of homology classes of finitely presentable groups.

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Ivan K. Babenko, Florent Balacheff. 2014-09-11. Systolic volume of homology classes. https://doi.org/10.2140/agt.2015.15.733

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