The fundamental group of symplectic $4$-manifolds with $b^+=1$

Anar Akhmedov; Weiyi Zhang

The fundamental group of symplectic $4$-manifolds with $b^+=1$

Geometric Topology 2015-09-08 v2 Algebraic Geometry Symplectic Geometry

Authors: Anar Akhmedov , Weiyi Zhang

Abstract

In this article we apply the technique of Luttinger surgery to study the complexity of the fundamental group of symplectic $4$ -manifolds with holomorphic Euler number $\chi_h=1$ . We discuss the topology of symplectic $4$ -manifolds with $b^+=1$ and provide various constructions of symplectic $4$ -manifolds with $b^+=1$ and prescribed $c_1^2$ .

Keywords

symplectic 4-manifolds fundamental group Luttinger surgery holomorphic Euler number topology b^+=1 Chern number c_1^2

Cite

@article{arxiv.1506.08367,
  title  = {The fundamental group of symplectic $4$-manifolds with $b^+=1$},
  author = {Anar Akhmedov and Weiyi Zhang},
  journal= {arXiv preprint arXiv:1506.08367},
  year   = {2015}
}

Comments

34 pages, 6 figures. In this version, we revised the paper according to the comments and suggestions of the reviewers. Comments are welcome

The fundamental group of symplectic $4$-manifolds with $b^+=1$

Abstract

Keywords

Cite

Comments

Related papers