Strongly irreducible surface automorphisms

Details Strongly irreducible surface automorphisms Strongly irreducible surface automorphisms

2002-08-14

arxiv.org/abs/math/0208110v1

Mathematics

Geometric Topology

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

Scientific paper

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.

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