Dehn-surgery along a torus T²-knot

Zyun’iti Iwase

Vol. 133 (1988), No. 2, 289–299

DOI: 10.2140/pjm.1988.133.289

Abstract

A T²-knot means a 2-torus embedded in a 4-manifold. We define torus T²-knots in the 4-sphere S⁴ as a generalization of torus knots in S³. We classify them up to equivalence and study the manifolds obtained by Dehn-surgery along them.

Mathematical Subject Classification 2000

Primary: 57Q45

Secondary: 57N10

Milestones

Received: 27 August 1986

Revised: 15 July 1987

Published: 1 June 1988