Mixed-platonic 3-manifolds

Algebraic & Geometric Topology 2026 Open access

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Authors: Eric Chesebro, Michelle Chu, Jason DeBlois, Neil Hoffman, Priyadip Mondal, Genevieve Walsh
DOI: 10.2140/agt.2026.26.2215
Cited by: 0

Abstract

We introduce a class of cusped hyperbolic 3-manifolds that we call mixed-platonic, composed of regular ideal hyperbolic polyhedra of more than one type, which includes certain previously known examples.We establish basic facts about mixed-platonic manifolds which allow us to conclude, among other things, that there is no mixed-platonic hyperbolic knot complement with hidden symmetries.

Fields of Study & Subjects

Geometric and Algebraic Topology Geometric Analysis and Curvature Flows Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
Algebraic & Geometric Topology
Volume
26
Issue
6
Pages
2215–2254
Publication date
22 June 2026
Language
EN