Can Dehn surgery yield three connected summands?

James Howie

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A consequence of the Cabling Conjecture of Gonzalez-Acuña and Short is that Dehn surgeryon aknot in S3 cannot producea manifold with more than two connected summands. In the event that some Dehn surgery produces a manifold with three or more connected summands, then the surgery parameter is bounded in terms of the bridge number by a result of Sayari. Here this bound is sharpened, providing further evidence in favour of the Cabling Conjecture. © European Mathematical Society.

Original languageEnglish
Pages (from-to)785-797
Number of pages13
JournalGroups, Geometry, and Dynamics
Volume4
Issue number4
DOIs
Publication statusPublished - 2010

Keywords

  • Cabling Conjecture
  • Dehn surgery

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