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. Download PDF (573Kb) |
| 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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