Holomorphic Vector Bundles, Knots and the Rozansky-Witten Invariants
| dc.creator | Thompson, George | |
| dc.date | 2000-02-21 | |
| dc.date | 2001-10-31 | |
| dc.date.accessioned | 2026-07-07T04:09:31Z | |
| dc.date.available | 2026-07-07T04:09:31Z | |
| dc.description | Link invariants, for 3-manifolds, are defined in the context of the Rozansky-Witten theory. To each knot in the link one associates a holomorphic bundle over a holomorphic symplectic manifold X. The invariants are evaluated for b_{1}(M) \geq 1 and X Hyper-Kaehler. To obtain invariants of Hyper-Kaehler X one finds that the holomorphic vector bundles must be hyper-holomorphic. This condition is derived and explained. Some results for X not Hyper-Kaehler are presented. | |
| dc.description | LaTeX, 21 pages. Added a section on the construction of hyper-holomorphic vector bundles, a reference and acknowledgements. Version to be published in Adv. in Theor. Phys | |
| dc.identifier | https://arxiv.org/abs/hep-th/0002168 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0002168 | |
| dc.identifier | Adv.Theor.Math.Phys. 5 (2002) 457-481 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/49876 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Geometric Topology | |
| dc.title | Holomorphic Vector Bundles, Knots and the Rozansky-Witten Invariants | |
| dc.type | text |