In this paper we construct several irreducible 4-manifolds, both small and arbitrarily large, with abelian non-cyclic fundamental group. The manufacturing procedure allows us to fill in numerous points in the geography plane of symplectic manifolds with π1=Z⊕Z,Z⊕Zp and Zq⊕Zp (gcd(p,q)≠1). We then study the botany of these points for π1=Zp⊕Zp.

Irreducible 4-manifolds with abelian non-cyclic fundamental group of small rank / Torres Ruiz, Rafael. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - (2010), pp. 831-838. [doi:10.1016/j.topol.2009.11.011]

Irreducible 4-manifolds with abelian non-cyclic fundamental group of small rank

Torres Ruiz, Rafael
2010-01-01

Abstract

In this paper we construct several irreducible 4-manifolds, both small and arbitrarily large, with abelian non-cyclic fundamental group. The manufacturing procedure allows us to fill in numerous points in the geography plane of symplectic manifolds with π1=Z⊕Z,Z⊕Zp and Zq⊕Zp (gcd(p,q)≠1). We then study the botany of these points for π1=Zp⊕Zp.
2010
831
838
Torres Ruiz, Rafael
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32591
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