English

Modulo 2 counting of Klein-bottle leaves in smooth taut foliations

Geometric Topology 2018-08-29 v1

Abstract

This article proves that the parity of the number of Klein-bottle leaves in a smooth cooriented taut foliation is invariant under smooth deformations within taut foliations, provided that every Klein-bottle leaf involved in the counting has non-trivial linear holonomy.

Keywords

Cite

@article{arxiv.1701.02084,
  title  = {Modulo 2 counting of Klein-bottle leaves in smooth taut foliations},
  author = {Boyu Zhang},
  journal= {arXiv preprint arXiv:1701.02084},
  year   = {2018}
}

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22 pages