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arXiv · 1609.05500

On Selberg's Eigenvalue Conjecture for moduli spaces of abelian differentials

Michael Magee
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Abstract

J.-C. Yoccoz proposed a natural extension of Selberg's Eigenvalue Conjecture to moduli spaces of abelian differentials. We prove an approximation to this conjecture. This gives a qualitative generalization of Selberg's $\frac{3}{16}$ Theorem to moduli spaces of abelian differentials on surfaces of genus $\geq 2$.

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BibTeXRIS

Michael Magee. 2016-09-18. On Selberg's Eigenvalue Conjecture for moduli spaces of abelian differentials. https://doi.org/10.1112/s0010437x1900767x

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