L-space knots have no essential Conway spheres
arXiv:2006.03521 · doi:10.2140/gt.2022.26.2065
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.
25 pages, 11 color figures created with PSTricks and TikZ. v1: Comments welcome! v2: This version fixes a mistake that previously occurred in Figure 10 and the proof of Proposition 5.1. The correction simplifies the overall argument. This is the version accepted for publication at Geometry & Topology
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