New symplectic 4--manifolds with $b_+{=}1$

Details New symplectic 4--manifolds with $b_+{=}1$ New symplectic 4--manifolds with $b_+{=}1$

2003-11-11

arxiv.org/abs/math/0311157v1

Mathematics

Geometric Topology

17 pages, 1 figure

Scientific paper

Symplectic 4-manifolds $(X,\omega)$ with $b_+{=}1$ are roughly classified by the canonical class $K$ and the symplectic form $\omega$ depending upon the sign of $K^2$ and $K\cdot \omega$. Examples are known for each category except for the case when the manifold satisfies $K^2=0$, $K\cdot \omega >0$, $b_1=2$, and fails to be of Lefschetz type. The purpose of this paper is to construct an infinite number of examples of such manifolds. Furthermore, we will show that these manifolds have very special properties -- they are not complex manifolds, their Seiberg-Witten invariants are independent of the chamber structure, and they do not have metrics of positive scalar curvature.

Affiliated with

Also associated with

No associations

Rating

New symplectic 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 New symplectic 4--manifolds with $b_+{=}1$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New symplectic 4--manifolds with $b_+{=}1$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-421674