Article thumbnail

CROSSING CHANGES OF FIBERED KNOTS

By Efstratia Kalfagianni

Abstract

Abstract. We prove that a crossing circle L of a fibered knot K bounds a disc in the complement of K, if and only if there is a crossing change supported on L that doesn't change the isotopy class of K. We also sow that if a knot K is n-adjacent to a fibered knot K0, for some n> 1, then either the genus of K is larger that of K0 or K is isotopic to K0. This statement leads to criteria for detecting non-fibered knots and it has some applications in the theory of finite type 3-manifold invariants. AMS classification numbers: 57M25, 57M27, 57M50. Keywords: crossing change, commutator length of a Dehn twist, fibered knot, mapping class group, Heegaard splitting, Thurston norm

Year: 2008
OAI identifier: oai:CiteSeerX.psu:10.1.1.120.853
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.math.msu.edu/~kalfa... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.