Professor Michael Magee michael.r.magee@durham.ac.uk
Professor
On Selberg's Eigenvalue Conjecture for moduli spaces of abelian differentials
Magee, Michael
Authors
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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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.
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