Generalized fibre sums of 4-manifolds and the canonical class

Abstract

In this paper we determine the integral homology and cohomology groups of a closed 4-manifold X obtained as the generalized fibre sum of two closed 4-manifolds M and N along embedded surfaces of genus g and self-intersection zero. If the homologies of the 4-manifolds are torsion free and the surfaces represent indivisible homology classes, we derive a formula for the intersection form of X. If in addition the 4-manifolds M and N are symplectic and the surfaces symplectically embedded we derive a formula for the canonical class of the symplectic fibre sum.

55 pages, some improvements

References in corpus (1)

• The Relative Symplectic Cone and T^2-Fibrations

Cited by in corpus (3)

• On certain exotic 4-manifolds of Akhmedov and Park
• Note on new symplectic 4-manifolds with nonnegative signature
• Iterated fibre sums of algebraic Lefschetz fibrations