Year: 2026
Type: article
Abstract: An L-space knot is a knot that admits a positive Dehn surgery yielding an L-space.Many known hyperbolic L-space knots are braid positive, meaning they can be represented as the closure of a positive braid.Recently, Baker and Kegel showed that the hyperbolic L-space knot o9_30634 from Dunfield's census is not braid-positive, and they constructed infinitely many candidates for hyperbolic L-space knots that may not be braid-positive.However, it remains unproven whether their examples are genuinely non-braid-positive.In this paper, we construct infinitely many hyperbolic L-space knots that are not braid-positive, and are distinct from those considered by Baker and Kegel.
Source: Pacific Journal of Mathematics
Author: Keisuke Himeno
Institution: Yamaguchi University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4416508703
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