KNOTS DETERMINED BY THEIR COMPLEMENTS 3 Proof

Abstract

The surgery theory of Browder, Lashof and Shaneson reduces the study of high-dimensional smooth knots n , ! S n+2 with 1 = Zto homotopy theory. We apply Williams's Poincar e embedding theorem to the unstable normal invariant : S n+2 ? ! (M=@M) of a Seifert surface M n+1 , ! S n+2. Then a knot is determined by its complement if the Z-cover of the complement is (n + 2)=3]-connected; we improve Farber's work by one dimension.

Cite this paper

@inproceedings{Richter2007KNOTSDB, title={KNOTS DETERMINED BY THEIR COMPLEMENTS 3 Proof}, author={William Richter}, year={2007} }