Degenerations of quadratic differentials on CP1
Geometric Topology
2014-11-11 v1
Abstract
We describe the connected components of the complement of a natural "diagonal" of real codimension 1 in a stratum of quadratic differentials on CP1. We establish a natural bijection between the set of these connected components and the set of generic configurations that appear on such "flat spheres". We also prove that the stratum has only one topological end. Finally, we elaborate a necessary toolkit destined to evaluation of the Siegel-Veech constants.
Cite
@article{arxiv.0708.3541,
title = {Degenerations of quadratic differentials on CP1},
author = {Corentin Boissy},
journal= {arXiv preprint arXiv:0708.3541},
year = {2014}
}
Comments
39 pages, 22 figures