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

Magee, Michael

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