Rational surgery calculus: extension of Kirby’s theorem

Dale Rolfsen

Vol. 110 (1984), No. 2, 377–386

DOI: 10.2140/pjm.1984.110.377

Abstract

Every 3-dimensional closed orientable manifold may be constructed by surgery on the 3-sphere as introduced by M. Dehn. We are concerned in this paper with answering the question: when do two surgery schemes actually produce the same 3-manifold?

Mathematical Subject Classification 2000

Primary: 57M25

Secondary: 57N10

Milestones

Received: 25 May 1982

Published: 1 February 1984