Non-orientable fundamental surfaces in lens spaces
| dc.creator | Hayashi, Chuichiro | |
| dc.creator | Iwakura, Miwa | |
| dc.date | 2008-09-10 | |
| dc.date.accessioned | 2026-07-07T10:01:57Z | |
| dc.date.available | 2026-07-07T10:01:57Z | |
| dc.description | We give a concrete example of an infinite sequence of $(p_n, q_n)$-lens spaces $L(p_n, q_n)$ with natural triangulations $T(p_n, q_n)$ with $p_n$ taterahedra such that $L(p_n, q_n)$ contains a certain non-orientable closed surface which is fundamental with respect to $T(p_n, q_n)$ and of minimal crosscap number among all closed non-orientable surfaces in $L(p_n, q_n)$ and has $n-2$ parallel sheets of normal disks of a quadrilateral type disjoint from the pair of core circles of $L(p_n, q_n)$. Actually, we can set $p_0=0, q_0=1, p_{k+1}=3p_k+2q_k$ and $q_{k+1}=p_k+q_k$. | |
| dc.description | 19 pages, 14 figures | |
| dc.identifier | https://arxiv.org/abs/0809.1700 | |
| dc.identifier | http://arxiv.org/abs/0809.1700 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168804 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10 | |
| dc.title | Non-orientable fundamental surfaces in lens spaces | |
| dc.type | text |