On converting a side-pairing to a handle decomposition
| dc.creator | Ivanšić, Dubravko | |
| dc.date | 2008-10-22 | |
| dc.date.accessioned | 2026-07-07T10:12:39Z | |
| dc.date.available | 2026-07-07T10:12:39Z | |
| dc.description | We give a method for obtaining a handle decomposition of an $n$-manifold if the manifold is given by isometric side-pairings of a polyhedron in $\en$, $\sn$ or $\hn$. Every cycle of $k$-faces on the polyhedron corresponds to an $(n-k)$-handle of the manifold. Two applications of the method are given. One helps recognize when a noncompact hyperbolic 3-manifold is a complement of a link in $S^3$ (and automatically produces the link diagram), the other shows that a topological $S^4$ described by the author in \cite{Ivansic3} is diffeomorphic to the standard differentiable $S^4$. | |
| dc.identifier | https://arxiv.org/abs/0810.4183 | |
| dc.identifier | http://arxiv.org/abs/0810.4183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172254 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M50, 57M25, 57Q45 | |
| dc.title | On converting a side-pairing to a handle decomposition | |
| dc.type | text |