Double node neighborhoods and families of simply connected 4-manifolds with b^+=1

Details Double node neighborhoods and families of simply connected 4-manifolds with b^+=1 Double node neighborhoods and families of simply connected 4-manifolds with b^+=1

2004-12-07

arxiv.org/abs/math/0412126v3

Mathematics

Geometric Topology

11 pages, More typos and minor errors corrected

Scientific paper

We introduce a new technique that is used to show that the complex projective plane blown up at 6, 7, or 8 points has infinitely many distinct smooth structures. None of these smooth structures admit smoothly embedded spheres with self-intersection -1, i.e. they are minimal. In addition, none these smooth structures admit an underlying symplectic structure. Shortly after the appearance of a preliminary version of this article, Park, Stipsicz, and Szabo used the techniques described herein to show that the complex projective plane blown up at 5 points has infinitely many distinct smooth structures. In the final section of this paper we give a somewhat different construction of such a family of examples.

Affiliated with

Also associated with

No associations

Rating

Double node neighborhoods and families of simply connected 4-manifolds with b^+=1 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 Double node neighborhoods and families of simply connected 4-manifolds with b^+=1, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Double node neighborhoods and families of simply connected 4-manifolds with b^+=1 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-169966