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

Magee, Michael

doi:10.1112/s0010437x1900767x

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

Magee, Michael

Authors

Professor Michael Magee michael.r.magee@durham.ac.uk
Professor

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.

Citation

Magee, M. (2019). On Selberg's Eigenvalue Conjecture for moduli spaces of abelian differentials. Compositio Mathematica, 155(12), 2354-2398. https://doi.org/10.1112/s0010437x1900767x

Journal Article Type	Article
Acceptance Date	Jul 17, 2019
Online Publication Date	Oct 30, 2019
Publication Date	Dec 31, 2019
Deposit Date	Sep 22, 2017
Publicly Available Date	Apr 30, 2020
Journal	Compositio Mathematica
Print ISSN	0010-437X
Electronic ISSN	1570-5846
Publisher	Cambridge University Press
Peer Reviewed	Peer Reviewed
Volume	155
Issue	12
Pages	2354-2398
DOI	https://doi.org/10.1112/s0010437x1900767x

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Copyright 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.