A surgical perspective on quasi-alternating links

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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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
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
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