Degenerations of quadratic differentials on CP1
arXiv:0708.3541 · doi:10.2140/gt.2008.12.1345
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.
39 pages, 22 figures
References in corpus (4)
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- Dynamics and geometry of the Rauzy-Veech induction for quadratic differentials