Constructing Simplicial Branched Covers
| dc.creator | Witte, Nikolaus | |
| dc.date | 2007-07-10 | |
| dc.date | 2008-01-23 | |
| dc.date.accessioned | 2026-07-07T08:55:44Z | |
| dc.date.available | 2026-07-07T08:55:44Z | |
| dc.description | Branched covers are applied frequently in topology - most prominently in the construction of closed oriented PL d-manifolds. In particular, strong bounds for the number of sheets and the topology of the branching set are known for dimension d<=4. On the other hand, Izmestiev and Joswig described how to obtain a simplicial covering space (the partial unfolding) of a given simplicial complex, thus obtaining a simplicial branched cover [Adv. Geom. 3(2):191-255, 2003]. We present a large class of branched covers which can be constructed via the partial unfolding. In particular, for d<=4 every closed oriented PL d-manifold is the partial unfolding of some polytopal d-sphere. | |
| dc.description | 15 pages, 8 figures, typos corrected and conjecture added | |
| dc.identifier | https://arxiv.org/abs/0707.1411 | |
| dc.identifier | http://arxiv.org/abs/0707.1411 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146368 | |
| dc.subject | Combinatorics | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M12; 57Q99; 05C15; 57M25 | |
| dc.title | Constructing Simplicial Branched Covers | |
| dc.type | text |