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March 2011 Asphericity results for ribbon disk complements via alternate descriptions
Tony Bedenikovic
Osaka J. Math. 48(1): 99-125 (March 2011).

Abstract

An alternate description for ribbon disk complements in the $4$-ball is provided. It is known (and reestablished) that this description is equivalent to the standard LOT description, up to $3$-deformation. Amenable to geometric arguments, the alternate description yields asphericity results for ribbon disk complements using simple graph-theoretic criteria and, later, using a relative homotopy group which arises naturally. In the course of making and modifying the description, two algorithms are given for presenting ribbon disk groups.

Citation

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Tony Bedenikovic. "Asphericity results for ribbon disk complements via alternate descriptions." Osaka J. Math. 48 (1) 99 - 125, March 2011.

Information

Published: March 2011
First available in Project Euclid: 22 March 2011

zbMATH: 1222.57002
MathSciNet: MR2802595

Subjects:
Primary: 57M20, 57Q99
Secondary: 20F99

Rights: Copyright © 2011 Osaka University and Osaka City University, Departments of Mathematics

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Vol.48 • No. 1 • March 2011
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