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Cohomology fractals, Cannon-Thurston maps, and the geodesic flow
[article]
2022
arXiv
pre-print
Cohomology fractals are images naturally associated to cohomology classes in hyperbolic three-manifolds. We generate these images for cusped, incomplete, and closed hyperbolic three-manifolds in real-time by ray-tracing to a fixed visual radius. We discovered cohomology fractals while attempting to illustrate Cannon-Thurston maps without using vector graphics; we prove a correspondence between these two, when the cohomology class is dual to a fibration. This allows us to verify our
arXiv:2010.05840v2
fatcat:bbj24wwdhfht7g3ex5mrs5qwxq