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Author Walker, Katharine C.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-05-04
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Geometric Topology ♦ Mathematics - Algebraic Geometry ♦ 30F30 (Primary) ♦ 14D20 (Secondary) ♦ math
Abstract In 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.
Educational Use Research
Learning Resource Type Article
Page Count 14


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