(1,1) L-space knots
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 articleSubject
Science & TechnologyPhysical Sciences
Mathematics
Floer homology
L-space
Dehn surgery
FLOER HOMOLOGY
BERGE CONJECTURE
DEHN FILLINGS
SOLID TORI
SURGERIES
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https://hdl.handle.net/10161/17378Published Version (Please cite this version)
10.1112/S0010437X17007989Publication Info
(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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Show full item recordScholars@Duke
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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