Cohomology of compact hyperkähler manifolds and its applications

Geometric and Functional Analysis

Volumn 6, Issue 4, 1996, Pages 601-611

  Verbitsky, Mikhail ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008982289     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02247112     Document Type: Article

References (15)

1. A. BEAUVILLE, Varietes Kähleriennes dont la pere classe de Chern est nulle, J. Diff. Geom. 18 (1983), 755-782.
2. A. BESSE, Einstein Manifolds, Springer-Verlag, New York (1987)
3. F.A. BOGOMOLOV, Hamiltonian Kähler manifolds, Dokl. Akad. Nauk SSSR (Mat.) 243 (1978), 1101-1104; English translation: Soviet Math. Dokl. 19 (1978), 1462-1465.
4. F.A. BOGOMOLOV, Hamiltonian Kähler manifolds, Dokl. Akad. Nauk SSSR (Mat.) 243 (1978), 1101-1104; English translation: Soviet Math. Dokl. 19 (1978), 1462-1465.
5. N. BOURBAKI, Groupes et algebres de Lie, Masson, Paris, New York, 1981.
6. M. KONTSEVICH, YU. MANIN, Gromov-Witten classes, quantum cohomology, and enumerative geometry, hep-th electronic preprint 9402147, 44p.
7. E. LOOIJENGA, V. LUNTS, Lie algebra attached to a projective variety, alg-geom preprint 9604014, 1994.
8. H. NAKAJIMA, Heisenberg algebra and Hubert schemes of points on projective surfaces, alg-geom electronic preprint 9507012, 16 pages, AMSLaTeX.
9. A. TODOROV, Moduli of Hyper-Kählerian manifolds I, II. preprint MPI (1990).
10. M. VERBITSKY, Cohomology of compact hyperkähler manifolds, alg-geom electronic preprint 9501001, 89 pages, LaTeX
11. M. VERBITSKY, On the action of a Lie algebra SO(5) on the cohomology of a hyperkähler manifold, Func. Analysis and Appl. 24:2 (1990), 70-71.
12. M. VERBITSKY, Hyperholomorphic bundles, alg-geom electronic preprint 9307008, 43 pages, LaTeX.
13. M. VERBITSKY, The proof of Mirror Symmetry for hyperkähler manifolds, in preparation.
14. M. VERBITSKY, Hyperkähler embeddings and holomorphic symplectic geometry II, // alg-geom electronic preprint 9403006, 14 pages, LaTeX. //also published under the title "Tri-analytic subvarieties of hyperkähler manifolds", GAFA 5:1 (1995), 92-104.
15. M. VERBITSKY, Hyperkähler embeddings and holomorphic symplectic geometry II, // alg-geom electronic preprint 9403006, 14 pages, LaTeX. //also published under the title "Tri-analytic subvarieties of hyperkähler manifolds", GAFA 5:1 (1995), 92-104.