(1,1) L-space knots

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Date

2018-05-01

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Abstract

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.

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Science & Technology, Physical Sciences, Mathematics, Floer homology, L-space, Dehn surgery, FLOER HOMOLOGY, BERGE CONJECTURE, DEHN FILLINGS, SOLID TORI, SURGERIES

Citation

Published Version (Please cite this version)

10.1112/S0010437X17007989

Publication Info

Greene, JE, S Lewallen and F Vafaee (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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