(1,1) almost L-space knots

Fraser Binns; Hugo Zhou

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arXiv · 2304.11475

(1,1) almost L-space knots

Fraser Binns·Hugo Zhou

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Abstract

We give a diagrammatic characterization of the $(1,1)$ knots in the three-sphere and lens spaces which admit large Dehn surgeries to manifolds with Heegaard Floer homology of next-to-minimal rank. This is inspired by a corresponding result for $(1,1)$ knots which admit large Dehn surgeries to manifolds with Heegaard Floer homology of minimal rank due to Greene-Lewallen-Vafaee.

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BibTeX RIS

Fraser Binns, Hugo Zhou. 2023-04-22. (1,1) almost L-space knots. https://arxiv.org/abs/2304.11475

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