English

Nonorientable, incompressible surfaces in punctured-torus bundles over S^1

Geometric Topology 2019-01-01 v1

Abstract

We classify incompressible, boundary-incompressible, nonorientable surfaces in punctured-torus bundles over S1S^1. We use the ideas of Floyd, Hatcher, and Thurston. The main tool is to put our surface in the "Morse position" with respect to the projection of the bundle into the basis S^1.

Keywords

Cite

@article{arxiv.1812.11228,
  title  = {Nonorientable, incompressible surfaces in punctured-torus bundles over S^1},
  author = {Jozef H. Przytycki},
  journal= {arXiv preprint arXiv:1812.11228},
  year   = {2019}
}

Comments

39 pages, 35 figures, one table, Dedicated to Maite Lozano for her 70th birthday