English

Strongly irreducible surface automorphisms

Geometric Topology 2007-05-23 v1

Abstract

A surface automorphism is strongly irreducible if every essential simple closed curve in the surface has nontrivial geometric intersection with its image. We show that a three-manifold admits only finitely many inequivalent surface bundle structures with strongly irreducible monodromy.

Keywords

Cite

@article{arxiv.math/0208110,
  title  = {Strongly irreducible surface automorphisms},
  author = {Saul Schleimer},
  journal= {arXiv preprint arXiv:math/0208110},
  year   = {2007}
}

Comments

12 pages, 6 figures. To appear in the proceedings of the Georgia Topology Conference