On the diffeomorphism groups of rational and ruled 4-manifolds

• Autores: Bang-He Li, Tian-Jun Li
• Localización: Journal of mathematics of Kyoto University, ISSN 0023-608X, Vol. 46, Nº 3, 2006, págs. 583-593
• Idioma: inglés
• DOI: 10.1215/kjm/1250281750
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• Resumen

  • Let $A(M)$ be the automorphism group of the middle homology of a smooth 4-manifold $M$ and $D(M)$ be the subgroup induced by diffeomorphisms of $M$. In this paper we give explicit generators of $D(M)$ for rational and ruled 4-manifolds. We also prove the uniqueness of reduced forms for classes with minimal genus 0 and non-negative square.