双曲4 -流形的尖点与可通约性类

IF 0.6 3区数学 Q3 MATHEMATICS Algebraic and Geometric Topology Pub Date : 2023-11-05 DOI:10.2140/agt.2023.23.3805

Connor Sell

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引用次数: 1

摘要

有六个可定向的，紧凑的，平坦的3-流形，它们可以作为双曲4-流形的尖端截面出现。本文给出了算术双曲4流形的给定可通约性类是否包含一个具有给定尖型的代表的判别准则。特别地，对于六种尖型中的三种，我们提供了无限多可通约性类的例子，这些类不包含具有给定类型尖型的流形;没有这样的例子，以前已知的任何尖端类型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cusps and commensurability classes of hyperbolic 4–manifolds

There are six orientable, compact, flat 3-manifolds that can occur as cusp cross-sections 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 type.

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