Q-fundamental surfaces in lens spaces

Chuichiro Hayashi; Miwa Iwakura

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arXiv · 0809.1524

Q-fundamental surfaces in lens spaces

Chuichiro Hayashi·Miwa Iwakura

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Abstract

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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Chuichiro Hayashi, Miwa Iwakura. 2008-09-09. Q-fundamental surfaces in lens spaces. https://arxiv.org/abs/0809.1524

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