Derived autoequivalences of moduli spaces of sheaves on K3 surfaces

Abstract: Some years ago I constructed a new autoequivalence of the derived category of the Hilbert scheme of n points on a K3 surface using "P-functors." Later Donovan, Meachan, and I extended the construction to some moduli spaces of torsion sheaves, and illuminated the geometric meaning of the story. Now my student Andrew Wray and I can extend it to moduli spaces of sheaves of any rank, powered by a new proof of the standard results about those moduli spaces. We deform to a Hilbert scheme in one step, using twistor lines.

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar