The dehn surgery characterization of the trefoil and the figure eight knot

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Abstract

We give a Dehn surgery characterization of the trefoil and the figure eight knots. These results are obtained by combining surgery formulas in Heegaard Floer homology from an earlier paper with the characterization of these knots in terms of their knot Floer homology due to Ghiggini.

Original languageEnglish (US)
Pages (from-to)251-266
Number of pages16
JournalJournal of Symplectic Geometry
Volume17
Issue number1
DOIs
StatePublished - Jan 1 2019

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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