Almost complex 4-manifolds with vanishing first Chern class

2006/07/27 by Stefan Bauer, Bauer, Stefan · 1 citation
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0607714

openalex publication_date 2006/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An odd Seiberg-Witten invariant imposes bounds on the signature of a closed, almost complex 4-manifold with vanishing first Chern class. This applies in particular to symplectic 4-manifolds of Kodaira dimension zero.

Cited by

• Kodaira dimension of almost complex 4-manifolds with torsion first Chern class

Related

• Seiberg-Witten invariants of non-simple type and Einstein metrics
• Explicit formulas for the Hattori-Stong theorem and applications
• Seiberg-Witten Theory and Z/2^p actions on spin 4-manifolds
• Localisation of the Donaldson's invariants along Seiberg-Witten classes
• Kodaira dimensions of almost complex manifolds II