Geography of symplectic 4- and 6-manifolds

2011/07/20 by Torres, Rafael, Yazinski, Jonathan
#57R17 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1107.3954

Abstract

The geography of minimal symplectic 4-manifolds with arbitrary fundamental group and symplectic 6-manifolds with abelian fundamental group of small rank, and with arbitrary fundamental group are addressed.

Related

• On the geography and botany of irreducible nonspin 4-manifolds with abelian fundamental group
• Geography of spin symplectic 4-manifolds with abelian fundamental group
• Irreducible 4-manifolds with abelian non-cyclic fundamental group of small rank
• Symplectic genus, minimal genus and diffeomorphisms
• Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau line