Vol. 208, No. 2, 2003

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Simplifying triangulations of S3

Aleksandar Mijatović

Vol. 208 (2003), No. 2, 291–324
Abstract

In this paper we describe a procedure to simplify any given triangulation of S3 using Pachner moves. We obtain an explicit exponential-type bound on the number of Pachner moves needed for this process. This leads to a new recognition algorithm for the 3-sphere.

Milestones
Received: 30 January 2001
Revised: 27 October 2001
Published: 1 February 2003
Authors
Aleksandar Mijatović
Department of Pure Mathematics and Mathematical Statistics
Center for Mathematical Sciences
University of Cambridge
Wilberforce Road
Cambridge, CB3 0WB
UK