Q-fundamental surfaces in lens spaces

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We determine all the Q-fundamental surfaces in $(p,1)$-lens spaces and $(p,2)$-lens spaces with respect to natural triangulations with $p$ tetrahedra. For general $(p,q)$-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.

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Geometric Topology, 57N10

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http://salesiana.dossiersoluciones.com/handle/123456789/168723

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.1524
 http://arxiv.org/abs/0809.1524

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arXiv