The cat-bat map, the figure-eight knot, and the five orbifolds

2024/09/10 by Pierre Dehornoy, Dehornoy, Pierre
Computer Science · #Algorithms and Data Compression #Artificial Intelligence in Games #FOS: Mathematics #Geometric Topology (math.GT)

paper · pdf · doi:10.48550/arxiv.2409.06543

openalex publication_date 2024/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These are expository notes in which we explain how one can see some exceptional surgeries connecting the suspension of the cat-bat map and the unit tangent bundles to some hyperbolic orbispheres.

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