Euler characteristic and quadrilaterals of normal surfaces
| dc.creator | Kalelkar, Tejas | |
| dc.date | 2008-10-01 | |
| dc.date.accessioned | 2026-07-07T10:06:41Z | |
| dc.date.available | 2026-07-07T10:06:41Z | |
| dc.description | Let $M$ be a compact 3-manifold with a triangulation $τ$. We give an inequality relating the Euler characteristic of a surface $F$ normally embedded in $M$ with the number of normal quadrilaterals in $F$. This gives a relation between a topological invariant of the surface and a quantity derived from its combinatorial description. Secondly, we obtain an inequality relating the number of normal triangles and normal quadrilaterals of $F$, that depends on the maximum number of tetrahedrons that share a vertex in $τ$. | |
| dc.description | 7 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0810.0174 | |
| dc.identifier | http://arxiv.org/abs/0810.0174 | |
| dc.identifier | Proceedings Mathematical Sciences, Indian Academy of Sciences, Volume 118, Number 2 / May, 2008, Pg 227-233 | |
| dc.identifier | doi:10.1007/s12044-008-0015-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170411 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57Q35 (Primary), 57M99 (Secondary) | |
| dc.title | Euler characteristic and quadrilaterals of normal surfaces | |
| dc.type | text |