Kuga-Satake construction and cohomology of hyperkahler manifolds
| Autor: | Kurnosov, Nikon, Soldatenkov, Andrey, Verbitsky, Misha |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Advances in Mathematics Volume 351, 31 July 2019, Pages 275-295 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.aim.2019.04.060 |
| Popis: | Let M be a simple hyperkahler manifold. Kuga-Satake construction gives an embedding of H^2(M,C) into the second cohomology of a torus, compatible with the Hodge structure. We construct a torus T and an embedding of the graded cohomology space H^*(M,C) \to H^{*+l}(T,C) for some l, which is compatible with the Hodge structures and the Poincare pairing. Moreover, this embedding is compatible with an action of the Lie algebra generated by all Lefschetz sl(2)-triples on M. Comment: 25 pages; to appear in Adv. Math |
| Databáze: | arXiv |
| Externí odkaz: |
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