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(1,1) L-space knots

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Date
2018-05-01
Authors
Greene, JE
Lewallen, S
Vafaee, F
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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.
Type
Journal article
Subject
Science & Technology
Physical Sciences
Mathematics
Floer homology
L-space
Dehn surgery
FLOER HOMOLOGY
BERGE CONJECTURE
DEHN FILLINGS
SOLID TORI
SURGERIES
Permalink
https://hdl.handle.net/10161/17378
Published Version (Please cite this version)
10.1112/S0010437X17007989
Publication Info
Greene, JE; Lewallen, S; & Vafaee, F (2018). (1,1) L-space knots. COMPOSITIO MATHEMATICA, 154(5). pp. 918-933. 10.1112/S0010437X17007989. Retrieved from https://hdl.handle.net/10161/17378.
This is constructed from limited available data and may be imprecise. To cite this article, please review & use the official citation provided by the journal.
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Scholars@Duke

Vafaee

Faramarz Vafaee

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
This author no longer has a Scholars@Duke profile, so the information shown here reflects their Duke status at the time this item was deposited.
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