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2000 The regular projective solution space of the figure-eight knot complement
Saburo Matsumoto, Richard Rannard
Experiment. Math. 9(2): 221-234 (2000).

Abstract

We define the regular immersed projective solution space for a triangulated 3-manifold, and completely determine it for the figure-8 knot complement. We show that there is a close relationship between vertices of this polytope and normal surfaces of a particularly simple form immersed in the manifold.

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Saburo Matsumoto. Richard Rannard. "The regular projective solution space of the figure-eight knot complement." Experiment. Math. 9 (2) 221 - 234, 2000.

Information

Published: 2000
First available in Project Euclid: 22 February 2003

zbMATH: 0984.57006
MathSciNet: MR1780207

Subjects:
Primary: 57M99
Secondary: 57M25

Keywords: immersions , normal surfaces , projective solution space

Rights: Copyright © 2000 A K Peters, Ltd.

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Vol.9 • No. 2 • 2000
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