High-dimensional fillings in Heisenberg groups
Group Theory
2012-10-24 v2
Abstract
We use intersections with horizontal manifolds to show that high-dimensional cycles in the Heisenberg group can be approximated efficiently by simplicial cycles. This lets us calculate all of the higher-order Dehn functions of the Heisenberg groups, thus proving a conjecture of Gromov.
Keywords
Cite
@article{arxiv.1006.1636,
title = {High-dimensional fillings in Heisenberg groups},
author = {Robert Young},
journal= {arXiv preprint arXiv:1006.1636},
year = {2012}
}
Comments
16 pages