Non‐integer surgery and branched double covers of alternating knots

We show that if the branched double cover of an alternating link arises as non‐integer surgery on a knot in S3, then this is exhibited by a rational tangle replacement in an alternating diagram.

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Veröffentlicht in:	Journal of the London Mathematical Society 2015-10, Vol.92 (2), p.311-337
1. Verfasser:	McCoy, Duncan
Format:	Artikel
Sprache:	eng
Schlagworte:	Formulas (mathematics) Knots Links Mathematical analysis Surgery
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description	We show that if the branched double cover of an alternating link arises as non‐integer surgery on a knot in S3, then this is exhibited by a rational tangle replacement in an alternating diagram.
doi_str_mv	10.1112/jlms/jdv030
format	Article
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source	Wiley Online Library Journals Frontfile Complete; Alma/SFX Local Collection
subjects	Formulas (mathematics) Knots Links Mathematical analysis Surgery
title	Non‐integer surgery and branched double covers of alternating knots
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