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On Selberg’s eigenvalue conjecture for moduli spaces of abelian differentials
Published online by Cambridge University Press: 30 October 2019
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 ${\geqslant}2$.
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- Research Article
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- © The Author 2019
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