The Geography of Spin Symplectic 4-Manifolds

Jongil Park

The Geography of Spin Symplectic 4-Manifolds

Geometric Topology 2007-05-23 v2

Authors: Jongil Park

Abstract

In this paper we construct a family of simply connected, spin, non-complex, symplectic 4-manifolds which cover all but finitely many allowed lattice points $(\chi, c)$ lying in $0 \leq c \leq 8.76\chi$ . Furthermore, as a corollary, we prove that there exist infinitely many exotic smooth structures on $(2n+1)(S^2 \times S^2)$ for all n large enough.

Keywords

spin 4-manifolds symplectic 4-manifolds non-complex exotic smooth structures heegaard genus

Cite

@article{arxiv.math/0008161,
  title  = {The Geography of Spin Symplectic 4-Manifolds},
  author = {Jongil Park},
  journal= {arXiv preprint arXiv:math/0008161},
  year   = {2007}
}

Comments

This is a revised version. AMS-LaTeX file, 13 pages with 2 eps-figures. Minor errors and grammatical problems are corrected. To appear in Mathematische Zeitschrift

The Geography of Spin Symplectic 4-Manifolds

Abstract

Keywords

Cite

Comments

Related papers