Closed incompressible surfaces in complements of star links

Research output: Contribution to journalArticle

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Abstract

A star link is constructed by plumbing bands with twists "according to a star graph". In this paper the closed incompressible surfaces in most star link complements are determined. It is shown that Dehn surgery on star knots yields Haken manifolds in most cases, but also some non-Haken manifolds.

Original languageEnglish (US)
Pages (from-to)209-230
Number of pages22
JournalPacific Journal of Mathematics
Volume111
Issue number1
DOIs
StatePublished - Jan 1 1984

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Incompressible Surface
Star
Complement
Closed
Dehn Surgery
Star Graph
Twist
Knot

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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abstract = "A star link is constructed by plumbing bands with twists {"}according to a star graph{"}. In this paper the closed incompressible surfaces in most star link complements are determined. It is shown that Dehn surgery on star knots yields Haken manifolds in most cases, but also some non-Haken manifolds.",
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Closed incompressible surfaces in complements of star links. / Oertel, Ulrich.

In: Pacific Journal of Mathematics, Vol. 111, No. 1, 01.01.1984, p. 209-230.

Research output: Contribution to journalArticle

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