Corpus ID: 237940237

Cusps and Commensurability Classes of Hyperbolic 4-Manifolds

@inproceedings{Sell2021CuspsAC,
  title={Cusps and Commensurability Classes of Hyperbolic 4-Manifolds},
  author={Connor Sell},
  year={2021}
}
There are six orientable, compact, flat 3-manifolds that can occur as cusp crosssections of hyperbolic 4-manifolds. This paper provides criteria for exactly when a given commensurability class of arithmetic hyperbolic 4-manifolds contains a representative with a given cusp type. In particular, for three of the six cusp types, we provide infinitely many examples of commensurability classes that contain no manifolds with cusps of the given type; no such examples were previously known for any cusp… Expand

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