CAT(0) geometry of braid space
CAT(0) geometry of braid space. Current research status is unassessed. The dated source poses this question; inclusion does not certify that it remains open today.
Editorial MSC2020 mapping of CAT(0) geometry of braid space. https://arxiv.org/pdf/2510.11908v2#page=2 Not an author-supplied code.
Problem statement
Let be the metric completion of the universal cover of , with the lifted Euclidean length metric. Is CAT(0) for every ?
Lean 4
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Background
Editorial question summary. Consult the linked source for the complete model, assumptions and discussion.
Progress & source assessment
Current research status is unassessed. The dated source poses this question; inclusion does not certify that it remains open today.
- [1]Anton Petrunin. Anton Petrunin — A Gallery of Geometry Problems (2026).; CAT(0) geometry of braid space linkCC0 1.0. Anton Petrunin; independent summaries of version 2, 7 September 2026.
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Discussion
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