An elementary proof for that all unoriented spanning surfaces of a link are related by attaching/deleting tubes and möbius bands

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Abstract

Gordon and Litherland showed that all compact, unoriented, possibly non-orientable surfaces in S3 bounded by a link are related by attaching/deleting tubes and half twisted bands. In this note we give an elementary proof for this result.

Original languageEnglish
Article number1450004
JournalJournal of Knot Theory and its Ramifications
Volume23
Issue number1
DOIs
Publication statusPublished - 2014 Jan

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Keywords

  • Reidemeister moves
  • S*-equivalence
  • Spanning surface
  • checkerboard surface

ASJC Scopus subject areas

  • Algebra and Number Theory

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