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

Magee, Michael

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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 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
Public URL https://durham-repository.worktribe.com/output/1376003

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