2000/04/02 by Eiji Ogasa, Ogasa, Eiji
Computer Science · Mathematics · Physics and Astronomy · #57M25 #57Q45 #57R65 #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Logic, programming, and type systems #Mathematical Physics (math-ph) #math-ph #math.GT #math.MP #msc:57M25 #msc:57Q45 #msc:57R65
paper · pdf · doi:10.48550/arxiv.math/0004007
13 pages 7 figures
arxiv created 2000/04/02 · openalex publication_date 2000/04/02 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
Let K and K' be 2-knots. Suppose that K and K' are ribbon-move equivalent. Then the Farber-Levine pairing for K is equivalent to that for K' and the (Z-)torsion part of the first Alexander module of K is isomorphic to that of K' as Z[Z] modules. Let K be a 2-knot which is ribbon-move equivalent to the trivial knot. Then the Atiyah-Patodi-Singer-Casson-Gordon-Ruberman Q/Z-valued \widetildeη-invariants of K for Zd is zero. (d is a natural number. d>2.).