Systolic volume of homology classes
Differential Geometry
2015-05-27 v2
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.
Keywords
Cite
@article{arxiv.1009.2835,
title = {Systolic volume of homology classes},
author = {Ivan K. Babenko and Florent Balacheff},
journal= {arXiv preprint arXiv:1009.2835},
year = {2015}
}