Connected components of strata of quadratic differentials over Teichmuller space

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dc.creatorWalker, Katharine C.
dc.date2008-05-04
dc.date.accessioned2026-07-07T09:36:58Z
dc.date.available2026-07-07T09:36:58Z
dc.descriptionIn this paper, we study connected components of strata of the space of quadratic differentials lying over $\T_g$. We use certain general properties of sections of line bundles to put a upper bound on the number of connected components, and a generalized version of the Gauss map as an invariant to put a lower bound on the number of such components. For strata with sufficiently many zeroes of the same order we can state precisely the number of components.
dc.description14 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0805.0434
dc.identifierhttp://arxiv.org/abs/0805.0434
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160306
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.subject30F30 (Primary); 14D20 (Secondary)
dc.titleConnected components of strata of quadratic differentials over Teichmuller space
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