The Dehn function of Sp(2n;Z)
Group Theory
2014-05-26 v2
Abstract
Gromov conjectured that any irreducible lattice in a symmetric space of rank at least 3 should have at most polynomial Dehn function. We prove that the lattice Sp(2p;Z) has quadratic Dehn function when p is at least 5. By results of Broaddus, Farb, and Putman, this implies that the Torelli group in large genus is at most exponentially distorted.
Keywords
Cite
@article{arxiv.1404.7412,
title = {The Dehn function of Sp(2n;Z)},
author = {David Bruce Cohen},
journal= {arXiv preprint arXiv:1404.7412},
year = {2014}
}
Comments
Added paragraph to introduction. 60 pages, 6 figures