Handle number one links and generalized property R

2009/09/01 by Michael J. Williams, Williams, Michael J.
Mathematics · #57M25 #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25 #msc:57M27

paper · pdf · doi:10.48550/arxiv.0909.0280

5 pages, 1 figure; main theorem strengthened to cover all handle number one links; simplified proof for 2-component links; minor style changes

arxiv created 2009/12/22 · arxiv updated 2010/01/07

Abstract

It is shown that if the exterior of a link L in the three sphere admits a genus 2 Heegaard splitting, then L has Generalized Property R.

Related

• Heegaard distance of the link complements in S³
• An intrinsic characterization of p-symmetric Heegaard splittings
• A closed orientable 3-manifold with distinct distance three genus two Heegaard splittings
• The four genus of a link, Levine-Tristram signatures and satellites
• Splitting links by integer homology spheres