English

Minimality of Symplectic Fiber Sums along Spheres

Symplectic Geometry 2010-05-07 v1 Geometric Topology

Abstract

In this note we complete the discussion of minimality of symplectic fiber sums. We find, that for fiber sums along spheres the minimality of the sum is determined by the cases discussed by M. Usher and one additional case: If the sum is the result of the rational blow-down of a symplectic -4-sphere in X, then it is non-minimal if X contains a certain configuration of exceptional spheres in relation to this -4-sphere.

Keywords

Cite

@article{arxiv.1005.0981,
  title  = {Minimality of Symplectic Fiber Sums along Spheres},
  author = {Josef G. Dorfmeister},
  journal= {arXiv preprint arXiv:1005.0981},
  year   = {2010}
}

Comments

22 pages, 4 figures