L-space knots
| Autor: | Joshua Evan Greene, Faramarz Vafaee, Sam Lewallen |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Lens (geometry)
Algebra and Number Theory 010102 general mathematics Characterization (mathematics) Mathematics::Geometric Topology 01 natural sciences Manifold Combinatorics Dehn surgery Corollary Floer homology 0103 physical sciences Braid Computer Science::Programming Languages 010307 mathematical physics 0101 mathematics Mathematics |
| Zdroj: | Compositio Mathematica. 154:918-933 |
| ISSN: | 1570-5846 0010-437X |
| DOI: | 10.1112/s0010437x17007989 |
| Popis: | We characterize the $(1,1)$ knots in the 3-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 among 1-bridge braid exteriors. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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