Kurnosov, N;
Soldatenkov, A;
Verbitsky, M;
(2019)
Kuga-Satake construction and cohomology of hyperkähler manifolds.
Advances in Mathematics
, 351
pp. 275-295.
10.1016/j.aim.2019.04.060.
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Abstract
Let M be a simple hyperkähler manifold. Kuga-Satake construction gives an embedding of 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 for some l, which is compatible with the Hodge structures and the Poincaré pairing. Moreover, this embedding is compatible with an action of the Lie algebra generated by all Lefschetz -triples on M.
| Type: | Article |
|---|---|
| Title: | Kuga-Satake construction and cohomology of hyperkähler manifolds |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.aim.2019.04.060 |
| Publisher version: | https://doi.org/10.1016/j.aim.2019.04.060 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Hyperkähler manifolds, Cohomology, Hodge structures |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10112994 |
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