Smooth surfaces with non-simply-connected complements

Details Smooth surfaces with non-simply-connected complements Smooth surfaces with non-simply-connected complements

2008-04-14

arxiv.org/abs/0804.2265v1

Mathematics

Geometric Topology

28 pages, 2 figures

Scientific paper

We give two constructions of surfaces in simply-connected 4-manifolds with non simply-connected complements. One is an iteration of the twisted rim surgery introduced by the first author. We also construct, for any group G satisfying some simple conditions, a simply-connected symplectic manifold containing a symplectic surface whose complement has fundamental group G. In each case, we produce infinitely many smoothly inequivalent surfaces that are equivalent up to smooth s-cobordism and hence are topologically equivalent for good groups.

Affiliated with

Also associated with

No associations

Rating

Smooth surfaces with non-simply-connected complements 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 Smooth surfaces with non-simply-connected complements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Smooth surfaces with non-simply-connected complements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-652311