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On derived categories of K3 surfaces, symplectic automorphisms and the Conway group

Daniel Huybrechts

Number 31
Author Daniel Huybrechts
Year 2013

In this note we interpret a recent result of Gaberdiel, Hohenegger and Volpato in terms of derived equivalences of K3 surfaces. We prove that there is a natural bijection between subgroups of the Conway group Co_1 with invariant lattice of rank at least four and groups of symplectic derived equivalences of D(Coh(X)) of projective K3 surfaces fixing a stability condition.

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