English

Q-fundamental surfaces in lens spaces

Geometric Topology 2008-09-10 v1

Abstract

We determine all the Q-fundamental surfaces in (p,1)(p,1)-lens spaces and (p,2)(p,2)-lens spaces with respect to natural triangulations with pp tetrahedra. For general (p,q)(p,q)-lens spaces, we give an upper bound for elements of vectors which represent Q-fundamental surfaces with no quadrilateral normal disks disjoint from the core circles of lens spaces. We also give some examples of non-orientable closed surfaces which are Q-fundamental surfaces with such quadrilateral normal disks.

Keywords

Cite

@article{arxiv.0809.1524,
  title  = {Q-fundamental surfaces in lens spaces},
  author = {Chuichiro Hayashi and Miwa Iwakura},
  journal= {arXiv preprint arXiv:0809.1524},
  year   = {2008}
}
R2 v1 2026-06-21T11:18:17.628Z