Some recent approaches in 4-dimensional surgery theory

Details Some recent approaches in 4-dimensional surgery theory Some recent approaches in 4-dimensional surgery theory

2006-08-31

arxiv.org/abs/math/0608794v1

Contemp. Geom. and Rel. Topics, Univ. of Belgrade, Belgrade 2006, pp. 273-283.

Mathematics

Geometric Topology

Scientific paper

It is well-known that an n-dimensional Poincar\'{e} complex $X^n$, $n \ge 5$, has the homotopy type of a compact topological $n$-manifold if the total surgery obstruction $s(X^n)$ vanishes. The present paper discusses recent attempts to prove analogous result in dimension 4. We begin by reviewing the necessary algebraic and controlled surgery theory. Next, we discuss the key idea of Quinn's approach. Finally, we present some cases of special fundamental groups, due to the authors and to Yamasaki.

Affiliated with

Also associated with

No associations

Rating

Some recent approaches in 4-dimensional surgery theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some recent approaches in 4-dimensional surgery theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some recent approaches in 4-dimensional surgery theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-397576