On symplectic 4-manifolds with prescribed fundamental group
| dc.creator | Baldridge, Scott | |
| dc.creator | Kirk, Paul | |
| dc.date | 2005-04-17 | |
| dc.date | 2005-06-07 | |
| dc.date.accessioned | 2026-07-07T05:19:11Z | |
| dc.date.available | 2026-07-07T05:19:11Z | |
| dc.description | In this article we study the problem of minimizing $aχ+bσ$ on the class of all symplectic 4--manifolds with prescribed fundamental group $G$ ($χ$ is the Euler characteristic, $σ$ is the signature, and $a,b\in \BR$), focusing on the important cases $χ$, $χ+σ$ and $2χ+3σ$. In certain situations we can derive lower bounds for these functions and describe symplectic 4-manifolds which are minimizers. We derive an upper bound for the minimum of $χ$ and $χ+σ$ in terms of the presentation of $G$. | |
| dc.description | 30 pages, 4 figures. New Version: Added examples covering free abelian groups with odd rank | |
| dc.identifier | https://arxiv.org/abs/math/0504345 | |
| dc.identifier | http://arxiv.org/abs/math/0504345 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74927 | |
| dc.subject | Geometric Topology | |
| dc.subject | 53D05; 57R17; 57M05 | |
| dc.title | On symplectic 4-manifolds with prescribed fundamental group | |
| dc.type | text |