TOPOLOGY SEMINAR

3/11/2004

Jongil Park
Konkuk University and Michigan State University

New symplectic 4-manifolds with $b_2^+=1$

Abstract

In this talk I'd like to review some symplectic 4-manifolds with $b_2^+=1$ and  I present a new family of simply connected symplectic 4-manifolds with $b_2^+=1$ and $c_1^2=2$ which are not diffeomorphic to rational surfaces. I also address some applications regarding this new symplectic 4-manifolds.