English

The existence of an indecomposable minimal genus two Lefschetz fibration

Geometric Topology 2018-10-18 v2 Symplectic Geometry

Abstract

It was shown by Usher that any fiber sum of Lefschetz fibrations over S2S^2 is minimal, which was conjectured by Stipsicz. We prove that the converse does not hold by showing that there exists an indecomposable minimal genus-2 Lefschetz fibration.

Keywords

Cite

@article{arxiv.1809.09542,
  title  = {The existence of an indecomposable minimal genus two Lefschetz fibration},
  author = {Anar Akhmedov and Naoyuki Monden},
  journal= {arXiv preprint arXiv:1809.09542},
  year   = {2018}
}

Comments

7 pages, some comments and references were added