2025/06/28 by Himeno, Keisuke
#57K10 #57K18 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2506.22934
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 our examples are distinct from those considered by Baker and Kegel.