Cohomology of compact hyperkaehler manifolds
| dc.creator | Verbitsky, Misha | |
| dc.date | 1995-01-03 | |
| dc.date | 1995-05-13 | |
| dc.date.accessioned | 2026-07-07T08:57:55Z | |
| dc.date.available | 2026-07-07T08:57:55Z | |
| dc.description | Let M be a compact simply connected hyperkähler (or holomorphically symplectic) manifold, \dim H^2(M)=n. Assume that M is not a product of hyperkaehler manifolds. We prove that the Lie algebra so(n-3,3) acts by automorphisms on the cohomology ring H^*(M). Under this action, the space H^2(M) is isomorphic to the fundamental representation of so(n-3,3). Let A^r be the subring of H^*(M) generated by H^2(M). We construct an action of the Lie algebra so(n-2,4) on the space A, which preserves A^r. The space A^r is an irreducible representation of so(n-2,4). This makes it possible to compute the ring A^r explicitely. | |
| dc.description | 87 pages LaTeX 2.09 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9501001 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9501001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147121 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.title | Cohomology of compact hyperkaehler manifolds | |
| dc.type | text |