## Exact sequences in the algebraic theory of surgery

- A. Ra Ranicki
- 1981

- Published 2007

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.

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