An obstruction to slicing iterated Bing doubles

Details An obstruction to slicing iterated Bing doubles An obstruction to slicing iterated Bing doubles

2009-07-28

arxiv.org/abs/0907.4948v1

Mathematics

Geometric Topology

6 pages, 6 figures

Scientific paper

Let K be a knot in S^3. We study the iterated Bing doubles of K, giving a new
proof for the following statement: If BD_n(K) is slice for some n, then K is
algebraically slice. This result was first proved by Cha and Kim using covering
link calculus. We also use this tool, but our proof is substantially simpler
and illuminates several generalizations.

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