Anar Ahmadov
Georgia Tech
Small Exotic 4-Manifolds
Abstract: In this talk we present new examples of symplectic 4-manifolds with same integral cohomology as S^2 x S^2. We also discuss the generalization of these examples to (2n-1)S^2 x S^2 case for n > 1. As an application of these symplectic building blocks, we construct
` 1) An exotic smooth (symplectic for b_2^+ = 1) structure on CP^2#3(-CP^2),
3CP^2#5(-CP^2), and 3CP^2#7(-CP^2).
2) An exotic symplectic CP^2#5(-CP^2).
3) An infinite family of distinct smooth 4-manifolds homeomorphic but not
diffemorphic to CP^2#3(-CP^2), 3CP^2#5(-CP^2) and 3CP^2#7(-CP^2).
Part of this is joint work with I. Baykur and D. Park.