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

Magee, Michael (2019) 'On Selberg's Eigenvalue Conjecture for moduli spaces of abelian differentials.', Compositio Mathematica., 155 (12). pp. 2354-2398.

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 theorem to moduli spaces of abelian differentials on surfaces of genus.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1112/S0010437X1900767X
Publisher statement:This article has been published in a revised form in Compositio Mathematica. http://doi.org/10.1112/S0010437X1900767X. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © The Authors 2019.
Date accepted:17 July 2019
Date deposited:31 July 2019
Date of first online publication:30 October 2019
Date first made open access:31 July 2019

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