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New non-arithmetic complex hyperbolic lattices.

Deraux, Martin and Parker, John R. and Paupert, Julien (2016) 'New non-arithmetic complex hyperbolic lattices.', Inventiones mathematicae., 203 (3). pp. 681-771.

Abstract

We produce a family of new, non-arithmetic lattices in TeX. All previously known examples were commensurable with lattices constructed by Picard, Mostow, and Deligne–Mostow, and fell into nine commensurability classes. Our groups produce five new distinct commensurability classes. Most of the techniques are completely general, and provide efficient geometric and computational tools for constructing fundamental domains for discrete groups acting on the complex hyperbolic plane.

Item Type:Article
Full text:(NA) Not Applicable
Download PDF (arXiv version)
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/s00222-015-0600-1
Publisher statement:The final publication is available at Springer via http://dx.doi.org/10.1007/s00222-015-0600-1.
Date accepted:17 April 2015
Date deposited:No date available
Date of first online publication:08 May 2015
Date first made open access:No date available

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