Vol. 201, No. 1, 2001

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Free genus one knots with large volume

Mark Brittenham

Vol. 201 (2001), No. 1, 61–82
Abstract

In this paper we construct families of hyperbolic knots with free genus one, whose complements have arbitrarily large volume. This implies that these knots have free genus one but arbitrarily large canonical genus.

Milestones
Received: 24 June 1999
Published: 1 November 2001
Authors
Mark Brittenham
Department of Mathematics
University of Nebraska
Lincoln, NE 68588-0323