Stein domains and branched shadows of 4-manifolds
| dc.creator | Costantino, Francesco | |
| dc.date | 2005-04-19 | |
| dc.date | 2007-01-15 | |
| dc.date.accessioned | 2026-07-07T07:40:35Z | |
| dc.date.available | 2026-07-07T07:40:35Z | |
| dc.description | We provide sufficient conditions assuring that a suitably decorated 2-polyhedron can be thickened to a compact 4-dimensional Stein domain. We also study a class of flat polyhedra in 4-manifolds and find conditions assuring that they admit Stein, compact neighborhoods. We base our calculations on Turaev's shadows suitably "smoothed"; the conditions we find are purely algebraic and combinatorial. Applying our results, we provide examples of hyperbolic 3-manifolds admitting "many" positive and negative Stein fillable contact structures, and prove a 4-dimensional analogue of Oertel's result on incompressibility of surfaces carried by branched polyhedra. | |
| dc.description | 23 pages, 12 figures; published in Geometria Dedicatae (2006) | |
| dc.identifier | https://arxiv.org/abs/math/0504387 | |
| dc.identifier | http://arxiv.org/abs/math/0504387 | |
| dc.identifier | Geometria Dedicatae (2006) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121816 | |
| dc.subject | Complex Variables | |
| dc.subject | Geometric Topology | |
| dc.subject | 32Q28; 57M50 | |
| dc.title | Stein domains and branched shadows of 4-manifolds | |
| dc.type | text |