Uniform Discreteness of the Holonomy vectors of translation surfaces
Chenxi Wu
TL;DR
This paper proves that the set of holonomy vectors of translation surfaces is uniformly discrete, resolving a question posed by Barak Weiss and advancing understanding of the geometric structure of these surfaces.
Contribution
It establishes the uniform discreteness of holonomy vectors for translation surfaces, a previously open problem in the field.
Findings
Holonomy vectors form a uniformly discrete set.
Resolved a question by Barak Weiss.
Contributes to the geometric understanding of translation surfaces.
Abstract
We answered a question by Barak Weiss on the uniform discreteness of the holonomy vectors of translation surfaces.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Holomorphic and Operator Theory