Cohomology fractals

David Bachman; Saul Schleimer; Henry Segerman

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arXiv · 2002.00239

Cohomology fractals

David Bachman·Saul Schleimer·Henry Segerman

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Abstract

We introduce cohomology fractals; these are certain images associated to a cohomology class on a hyperbolic three-manifold. They include images made entirely from circles, and also images with no geometrically simple features. They are closely related to limit sets of kleinian groups, but have some key differences. As a consequence, we can zoom in almost any direction to arbitrary depth in real time. We present an implementation in the setting of ideal triangulations using ray-casting.

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David Bachman, Saul Schleimer, Henry Segerman. 2020-02-01. Cohomology fractals. https://arxiv.org/abs/2002.00239

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