Journal of Mathematics of Kyoto University

A 2-knot connected-sum and 4-dimensional diffeomorphism

Motoo Tange

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Abstract

We consider a sufficient condition that a knot self-concordance surgery introduced in [3] gives rise to the diffeomorphic manifolds. The main theorem in the present paper is a certain generalization of Akbulut’s result in [3] and author’s result in [6].

Article information

Source
J. Math. Kyoto Univ., Volume 46, Number 4 (2006), 879-890.

Dates
First available in Project Euclid: 14 August 2009

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1250281607

Digital Object Identifier
doi:10.1215/kjm/1250281607

Mathematical Reviews number (MathSciNet)
MR2320354

Zentralblatt MATH identifier
1155.57031

Subjects
Primary: 57R65: Surgery and handlebodies
Secondary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45} 57M27: Invariants of knots and 3-manifolds 57N13: Topology of $E^4$ , $4$-manifolds [See also 14Jxx, 32Jxx] 57R55: Differentiable structures

Citation

Tange, Motoo. A 2-knot connected-sum and 4-dimensional diffeomorphism. J. Math. Kyoto Univ. 46 (2006), no. 4, 879--890. doi:10.1215/kjm/1250281607. https://projecteuclid.org/euclid.kjm/1250281607


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