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- W2950829307 abstract "We show that the Looijenga--Lunts--Verbitsky Lie algebra acting on the cohomology of a hyperkahler variety is a derived invariant, and obtain from this a number of consequences for the action on cohomology of derived equivalences between hyperkahler varieties. This includes a proof that derived equivalent hyperkahler varieties have isomorphic $mathbf{Q}$-Hodge structures, the construction of a rational `Mukai lattice' functorial for derived equivalences, and the computation (up to index 2) of the image of the group of auto-equivalences on the cohomology of certain Hilbert squares of K3 surfaces." @default.
- W2950829307 created "2019-06-27" @default.
- W2950829307 creator A5011292891 @default.
- W2950829307 date "2019-06-19" @default.
- W2950829307 modified "2023-09-27" @default.
- W2950829307 title "Derived equivalences of hyperkahler varieties." @default.
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