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Meridional destabilizing number of knots

Toshio Saito
Algebraic & Geometric Topology 11 (2011) 1205–1242
DOI: 10.2140/agt.2011.11.1205
Abstract

We define the meridional destabilizing number of a knot. This together with Heegaard genus (or tunnel number) gives a binary complexity of knots. We study its behavior under connected sum of tunnel number one knots.

Keywords
meridional destabilizing number, Heegaard genus, tunnel number
Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57N10
References
Publication
Received: 14 December 2010
Revised: 9 February 2011
Accepted: 11 February 2011
Published: 23 April 2011
Authors
Toshio Saito
Department of Mathematics
University of California at Santa Barbara
Santa Barbara CA 93106
USA