FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 4, PAGES 221-236

Solving four-dimensional surgery problems using controlled theory

F. Hegenbarth
D. Repovš

Abstract

View as HTML     View as gif image

In this paper, the controlled surgery sequence of Ranicki, Pedersen, and Quinn is applied to the solution of surgery problems in dimension four when the fundamental group is not known to be good. Our examples concern free non-Abelian fundamental groups, surface fundamental groups, and special knot groups. Using results from our earlier paper (joint with Spaggiari), we state a general result from which our examples follow.

Location: http://mech.math.msu.su/~fpm/eng/k05/k054/k05418h.htm
Last modified: November 29, 2005