A new obstruction for ribbon-moves of 2-knots: 2-knots fibred by the punctured 3-tori and 2-knots bounded by homology spheres

2010/03/12 by Eiji Ogasa, Ogasa, Eiji
Mathematics · #57M25 #57Q45 #57R65 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25 #msc:57Q45 #msc:57R65

paper · pdf · doi:10.48550/arxiv.1003.2473

27pages 5 figures

arxiv created 2010/03/12 · arxiv updated 2010/03/15

Abstract

This paper gives a new obstruction for ribbon-move equivalence of 2-knots. Let K and K' be 2-knots. Let K and K' are ribbon-move equivalent. One corollary to our main theorem is as follows. A 2-dimensional fibered knot whose fiber is the punctured 3-dimensional torus is not ribbon-move equivalent to any 2-dimensional knot whose Seifert hypersurface is a punctured homology sphere.

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