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

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arxiv 2409.06543 v1 pith:DOUPTA5P submitted 2024-09-10 math.GT

classification math.GT
keywords cat-batsomebundlesconnectingexceptionalexplainexpositoryfigure-eight
verification ladder T0 review T1 audit T2 compute T3 formal
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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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