Spinors as automorphisms of the tangent bundle
| dc.creator | Scorpan, Alexandru | |
| dc.date | 2002-10-27 | |
| dc.date | 2003-04-11 | |
| dc.date.accessioned | 2026-07-07T04:52:24Z | |
| dc.date.available | 2026-07-07T04:52:24Z | |
| dc.description | We show that, on a 4-manifold M endowed with a spin^c structure induced by an almost-complex structure, a self-dual (= positive) spinor field ϕ\in Γ(W^+) is the same as a bundle morphism ϕ: TM \to TM acting on the fiber by self-dual conformal transformations, such that the Clifford multiplication is just the evaluation of ϕon tangent vectors, and that the squaring map σ: W^+ \to Λ^+ acts by pulling-back the fundamental form of the almost-complex structure. We use this to detect Kahler and symplectic structures. | |
| dc.description | 19 pages, 1 LaTeX figure. Minor revision, one figure added. To appear in Transaction of the AMS | |
| dc.identifier | https://arxiv.org/abs/math/0210418 | |
| dc.identifier | http://arxiv.org/abs/math/0210418 | |
| dc.identifier | Trans. Amer. Math. Soc., vol. 356 (2004), mo. 5, pp. 2049-2066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65450 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | Primary 53C27; Secondary 57N13, 32Q60, 53D05 | |
| dc.title | Spinors as automorphisms of the tangent bundle | |
| dc.type | text |