English

Lefschetz fibrations with small slope

Geometric Topology 2016-01-20 v3 Symplectic Geometry

Abstract

We construct Lefschetz fibrations over S2S^2 which do not satisfy the slope inequality. This gives a negative answer to a question of Hain.

Keywords

Cite

@article{arxiv.1209.1268,
  title  = {Lefschetz fibrations with small slope},
  author = {Naoyuki Monden},
  journal= {arXiv preprint arXiv:1209.1268},
  year   = {2016}
}

Comments

9 pages, 2 figures, Main changes are the corrections of the statement and proof of Theorem 1.5. This version correct the statements and proofs of Corollary 1.3 and 1.4

R2 v1 2026-06-21T22:00:52.394Z