Rank two affine submanifolds in $\mathcal{H}(2,2)$ and $\mathcal{H}(3,1)$
Geometric Topology
2016-10-19 v2 Dynamical Systems
Abstract
We classify all rank two affine manifolds in strata in genus three with two zeros. This confirms a conjecture of Maryam Mirzakhani in these cases. Several technical results are proven for all strata in genus three, with the hope that they may shed light on a complete classification of rank two manifolds in genus three.
Cite
@article{arxiv.1501.03303,
title = {Rank two affine submanifolds in $\mathcal{H}(2,2)$ and $\mathcal{H}(3,1)$},
author = {David Aulicino and Duc-Manh Nguyen},
journal= {arXiv preprint arXiv:1501.03303},
year = {2016}
}
Comments
63 pages, 28 figures