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Abstract

We extend normal surface Q-theory developed in compact triangulated 3-manifolds to some non-compact 3-manifolds and apply the Q-theory to knot complements. We also give an algorithm to find a normal surface representing a minimal Seifert surface of a non-fibered knot in the knot complement. The figure-eight knot is presented as a fibered knot which does not have any either normal or almost normal representation of a minimal Seifert surface of the knot in its complement in S 3.

Details

Title
Normal surfaces in knot complements
Author
Ensil, Kang
Year
1999
Publisher
ProQuest Dissertations Publishing
ISBN
978-0-599-26018-4
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304502210
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.