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2006 Slicing Bing doubles
David Cimasoni
Algebr. Geom. Topol. 6(5): 2395-2415 (2006). DOI: 10.2140/agt.2006.6.2395

Abstract

Bing doubling is an operation which produces a 2–component boundary link B(K) from a knot K. If K is slice, then B(K) is easily seen to be boundary slice. In this paper, we investigate whether the converse holds. Our main result is that if B(K) is boundary slice, then K is algebraically slice. We also show that the Rasmussen invariant can tell that certain Bing doubles are not smoothly slice.

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David Cimasoni. "Slicing Bing doubles." Algebr. Geom. Topol. 6 (5) 2395 - 2415, 2006. https://doi.org/10.2140/agt.2006.6.2395

Information

Received: 16 September 2006; Accepted: 18 November 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1129.57007
MathSciNet: MR2286030
Digital Object Identifier: 10.2140/agt.2006.6.2395

Subjects:
Primary: 57M25
Secondary: 57M27

Rights: Copyright © 2006 Mathematical Sciences Publishers

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