Global structure of Witten's 2+1 gravity on ${\bf R}\times T^2$
| dc.creator | Louko, Jorma | |
| dc.creator | Marolf, Donald | |
| dc.date | 1994-03-21 | |
| dc.date.accessioned | 2026-07-07T03:30:17Z | |
| dc.date.available | 2026-07-07T03:30:17Z | |
| dc.description | We investigate the space ${\cal M}$ of classical solutions to Witten's formulation of 2+1 gravity on the manifold ${\bf R} \times T^2$. ${\cal M}$ is connected, but neither Hausdorff nor a manifold. However, removing from ${\cal M}$ a set of measure zero yields a connected manifold which is naturally viewed as the cotangent bundle over a non-Hausdorff base space. Avenues towards quantizing the theory are discussed in view of the relation between spacetime metrics and the various parts of~${\cal M}$. (Contribution to the proceedings of the Lanczos Centenary Conference, Raleigh, NC, December 12--17, 1993.) | |
| dc.description | 3 pages, LaTeX. CGPG-94/3-2, WISC-MILW-94-TH-12 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9403041 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9403041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35487 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Global structure of Witten's 2+1 gravity on ${\bf R}\times T^2$ | |
| dc.type | text |