Non‐integer surgery and branched double covers of alternating knots

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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Beschreibung
Zusammenfassung: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