L-space knots have no essential Conway spheres
Tye Lidman, Allison H. Moore, Claudius Zibrowius
TL;DR
This paper proves that L-space knots cannot have essential Conway spheres using Floer theoretic invariants called peculiar modules, advancing understanding of their topological structure.
Contribution
It introduces a Floer theoretic approach to show that L-space knots lack essential Conway spheres, providing a new perspective in knot theory.
Findings
L-space knots have no essential Conway spheres
Peculiar modules serve as an effective Floer theoretic invariant
The result deepens understanding of L-space knot topology
Abstract
We prove that L-space knots do not have essential Conway spheres with the technology of peculiar modules, a Floer theoretic invariant for tangles.
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