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Dissolving knot surgered 4-manifolds by classical cobordism arguments.

Authors :
Baykur, R. İnanç
Source :
Journal of Knot Theory & Its Ramifications. Apr2018, Vol. 27 Issue 5, p-1. 6p.
Publication Year :
2018

Abstract

The purpose of this note is to show that classical cobordism arguments, which go back to the pioneering works of Mandelbaum and Moishezon, provide quick and unified proofs of any knot surgered compact simply-connected 4-manifold becoming diffeomorphic to after a single stabilization by connected summing with or , and almost complete decomposability of for many almost completely decomposable , such as the elliptic surfaces. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02182165
Volume :
27
Issue :
5
Database :
Academic Search Index
Journal :
Journal of Knot Theory & Its Ramifications
Publication Type :
Academic Journal
Accession number :
129298228
Full Text :
https://doi.org/10.1142/S0218216518710013