Surgery on Nullhomologous Tori

Abstract

By studying the example of smooth structures on CP^2#3(-CP^2) we illustrate how surgery on a single embedded nullhomologous torus can be utilized to change the symplectic structure, the Seiberg-Witten invariant, and hence the smooth structure on a 4-manifold.

References in corpus (2)

• On Park's exotic smooth four-manifolds
• A symplectic manifold homeomorphic but not diffeomorphic to CP^2 # 3(-CP^2)

Cited by in corpus (6)

• Pinwheels and nullhomologous surgery on 4-manifolds with b^+ = 1
• Nuclei and exotic 4-manifolds
• Null-homologous exotic surfaces in 4-manifolds
• Geography of symplectic 4- and 6-manifolds
• Irreducible 4-manifolds with abelian non-cyclic fundamental group of small rank
• Geography of spin symplectic 4-manifolds with abelian fundamental group