Slicing Bing doubles

Details Slicing Bing doubles Slicing Bing doubles

2006-09-16

arxiv.org/abs/math/0609458v2

Algebr. Geom. Topol. 6 (2006) 2395-2415

Mathematics

Geometric Topology

This is the version published by Algebraic & Geometric Topology on 13 December 2006

Scientific paper

10.2140/agt.2006.6.2395

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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