Configurations of saddle connections of quadratic differentials on CP1 and on hyperelliptic Riemann surfaces

Simple item page
dc.creatorBoissy, Corentin
dc.date2007-05-22
dc.date2007-08-27
dc.date.accessioned2026-07-07T08:25:34Z
dc.date.available2026-07-07T08:25:34Z
dc.descriptionConfigurations of rigid collections of saddle connections are connected component invariants for strata of the moduli space of quadratic differentials. They have been classified for strata of Abelian differentials by Eskin, Masur and Zorich. Similar work for strata of quadratic differentials has been done in Masur and Zorich, although in that case the connected components were not distinguished. We classify the configurations for quadratic differentials on the Riemann sphere and on hyperelliptic connected components of the moduli space of quadratic differentials. We show that, in genera greater than five, any configuration that appears in the hyperelliptic connected component of a stratum also appears in the non-hyperelliptic one.
dc.description34 pages, 12 figures, submitted, improved presentation and typography
dc.identifierhttps://arxiv.org/abs/0705.3142
dc.identifierhttp://arxiv.org/abs/0705.3142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136662
dc.subjectGeometric Topology
dc.subject(Primary) 32G15; (Secondary) 30F30, 57R30
dc.titleConfigurations of saddle connections of quadratic differentials on CP1 and on hyperelliptic Riemann surfaces
dc.typetext

Files

Collections

arXiv