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• W3137732421 abstract "We introduce a linearised form of the square root of the Todd class inside the Verbitsky component of a hyper-Kähler manifold using the extended Mukai lattice. This enables us to define a Mukai vector for certain objects in the derived category taking values inside the extended Mukai lattice which is functorial for derived equivalences. As applications, we obtain a structure theorem for derived equivalences between hyper-Kähler manifolds as well as an integral lattice associated to the derived category of hyper-Kähler manifolds deformation equivalent to the Hilbert scheme of a K3 surface mimicking the surface case." @default.
• W3137732421 created "2021-03-29" @default.
• W3137732421 creator A5084709991 @default.
• W3137732421 date "2023-01-01" @default.
• W3137732421 modified "2023-09-26" @default.
• W3137732421 title "Derived categories of hyper-Kähler manifolds: extended Mukai vector and integral structure" @default.
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• W3137732421 doi "https://doi.org/10.1112/s0010437x22007849" @default.
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