Watson, L. (2011) A surgical perspective on quasi-alternating links. In: Usher, M. (ed.) Low-dimensional and Symplectic Topology. Series: Proceedings of Symposia in Pure Mathematics, 82. American Mathematical Society: Providence, RI, USA. ISBN 9780821852354
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Abstract
We show that quasi-alternating links arise naturally when considering surgery on a strongly invertible L-space knot (that is, a knot that yields an L-space for some Dehn surgery). In particular, we show that for many known classes of L-space knots, every sufficiently large surgery may be realized as the two-fold branched cover of a quasi-alternating link. Consequently, there is considerable overlap between L-spaces obtained by surgery on S3, and L-spaces resulting as two-fold branched covers of quasi-alternating links. By adapting this approach to certain Seifert fibered spaces, it is possible to give an iterative construction for quasi-alternating Montesinos links.
| Item Type: | Book Sections |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Watson, Professor Liam |
| Authors: | Watson, L. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Publisher: | American Mathematical Society |
| ISBN: | 9780821852354 |
| Related URLs: |
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