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arXiv · 1405.5899

Siegel-Veech constants for strata of moduli spaces of quadratic differentials

Elise Goujard
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Abstract

We present an explicit formula relating volumes of strata of meromorphicquadratic differentials with at most simple poles on Riemann surfacesand counting functions of the number of flat cylinders filled by closedgeodesics in associated flat metric with singularities. This generalizes the resultof Athreya, Eskin and Zorich in genus 0 to higher genera.

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Elise Goujard. 2014-05-22. Siegel-Veech constants for strata of moduli spaces of quadratic differentials. https://arxiv.org/abs/1405.5899

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