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20162026
most citedCusps and Commensurability Classes of Hyperbolic 4-Manifolds

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math.GT2024

Nil 3-manifolds and cusps of complex hyperbolic surfaces

Julien Paupert, Connor Sell

McReynolds showed that every compact Nil 3-manifold occurs as the cusp cross-section of some arithmetic complex hyperbolic 2-manifold. We classify which commensurability classes of…

math.GT2024

Cusp types of arithmetic hyperbolic manifolds

Duncan McCoy, Connor Sell

We establish necessary and sufficient conditions for determining when a flat manifold can occur as a cusp cross-section within a given commensurability class of cusped arithmetic h…