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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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 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
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ispartof Journal of the London Mathematical Society, 2015-10, Vol.92 (2), p.311-337
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1469-7750
language eng
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source Wiley-Blackwell Read & Publish Collection
subjects Formulas (mathematics)
Knots
Links
Mathematical analysis
Surgery
title Non‐integer surgery and branched double covers of alternating knots
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