An obstruction to slicing iterated Bing doubles
Geometric Topology
2009-07-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0907.4948,
title = {An obstruction to slicing iterated Bing doubles},
author = {Cornelia A. Van Cott},
journal= {arXiv preprint arXiv:0907.4948},
year = {2009}
}
Comments
6 pages, 6 figures