Surgery on closed 4-manifolds with free fundamental group

Details Surgery on closed 4-manifolds with free fundamental group Surgery on closed 4-manifolds with free fundamental group

2001-03-04

arxiv.org/abs/math/0103018v1

Math. Proc. Cambridge Philos. Soc. 133 (2002), 305--310.

Mathematics

Geometric Topology

7 pages

Scientific paper

10.1017/S0305004102006084

Even though the disk embedding theorem is not available in dimension 4 for
free fundamental groups, some surgery problems may be shown to have topological
solutions. We prove that surgery problems may be solved if one considers closed
4-manifolds and the intersection pairing is extended from the integers, and
prove a related splitting result.

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