On 3-braids and L-space knots
Christine Ruey Shan Lee, Faramarz Vafaee
TL;DR
This paper classifies all closed 3-braids that are L-space knots, providing a complete characterization within this specific class of knots.
Contribution
It offers a complete classification of 3-braid L-space knots, a previously unresolved problem in knot theory.
Findings
Identifies all closed 3-braids that are L-space knots
Provides criteria distinguishing L-space knots among 3-braids
Completes the classification of 3-braid L-space knots
Abstract
We classify closed 3-braids which are L-space knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Geometric Analysis and Curvature Flows