(1,1) L-space knots
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We characterize the (1, 1) knots in the three-sphere and lens spaces that admit non-trivial L-space surgeries. As a corollary, 1-bridge braids in these manifolds admit non- trivial L-space surgeries. We also recover a characterization of the Berge manifold amongst 1-bridge braid exteriors.
SubjectScience & Technology
Published Version (Please cite this version)10.1112/S0010437X17007989
Publication InfoVafaee, Faramarz; Greene, Joshua Evan; & Lewallen, Sam (2018). (1,1) L-space knots. COMPOSITIO MATHEMATICA, 154(5). pp. 918-933. 10.1112/S0010437X17007989. Retrieved from https://hdl.handle.net/10161/17378.
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Phillip Griffiths Assistant Research Professor
My main research interests lie in low dimensional topology and geometry. Among others, these interests include Heegaard Floer homology and its applications, Khovanov homology, contact and symplectic geometry, and handlebody theory. A central goal of low dimensional topology is to understand three and four–dimensional spaces. Achieving this understanding is often aided through the study of knots and surfaces embedded therein, and the theory of knotted curves and surfaces have