Berge–Gabai knots and L–space satellite operations
Date
2015-01-15
Journal Title
Journal ISSN
Volume Title
Repository Usage Stats
views
downloads
Citation Stats
Abstract
© 2014 Mathematical Sciences Publishers. All rights reserved. Let P(K) be a satellite knot where the pattern P is a Berge–Gabai knot (ie a knot in the solid torus with a nontrivial solid torus Dehn surgery) and the companion K is a nontrivial knot in S3. We prove that P(K) is an L–space knot if and only if K is an L–space knot and P is sufficiently positively twisted relative to the genus of K. This generalizes the result for cables due to Hedden [13] and Hom [17].
Type
Department
Description
Provenance
Citation
Permalink
Published Version (Please cite this version)
Publication Info
Hom, J, T Lidman and F Vafaee (2015). Berge–Gabai knots and L–space satellite operations. Algebraic & Geometric Topology, 14(6). pp. 3745–3763. 10.2140/agt.2014.14.3745 Retrieved from https://hdl.handle.net/10161/17371.
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.
Collections
Unless otherwise indicated, scholarly articles published by Duke faculty members are made available here with a CC-BY-NC (Creative Commons Attribution Non-Commercial) license, as enabled by the Duke Open Access Policy. If you wish to use the materials in ways not already permitted under CC-BY-NC, please consult the copyright owner. Other materials are made available here through the author’s grant of a non-exclusive license to make their work openly accessible.