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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Bibliographic Details
Published in:Journal of the London Mathematical Society 2015-10, Vol.92 (2), p.311-337
Main Author: McCoy, Duncan
Format: Article
Language:English
Subjects:
Formulas (mathematics)
Knots
Links
Mathematical analysis
Surgery
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Description
Summary: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.
ISSN:0024-6107
1469-7750
DOI:10.1112/jlms/jdv030