11 citations · 14 across the 3 of their papers we have counts for
3 papers
math.GT2015★ 1 cited
Regular geometric cycles
Guillaume Bulteau
Let be a finitely presented group. If h is a non trivial homology class in Hn(; Z), a theorem of Gromov (see [Gro83], 6) asserts the existence of regular geometric cycles wh…
math.GT2015★ 2 cited
Systolic geometry and regularization technique
Guillaume Bulteau
The aim of this text is to present the concept of systole of a compact riemannian manifold and to give an overview of systolic geometry. I will also present the "regularization tec…
math.GT2015★ 11 cited
Systolic geometry and simplicial complexity for groups
Ivan Babenko, Florent Balacheff, Guillaume Bulteau
Twenty years ago Gromov asked about how large is the set of isomorphism classes of groups whose systolic area is bounded from above. This article introduces a new combinatorial inv…