arXiv math/06094582006-09math.GT

Slicing Bing doubles

David Cimasoni

备注：: This is the version published by Algebraic & Geometric Topology on 13 December 2006
发表信息：: Algebr. Geom. Topol. 6 (2006) 2395-2415
DOI：: 10.2140/agt.2006.6.2395

英文摘要：

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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