Window shifts, flop equivalences and Grassmannian twists

Will Donovan, Ed Segal
2014 Compositio Mathematica  
AbstractWe introduce a new class of autoequivalences that act on the derived categories of certain vector bundles over Grassmannians. These autoequivalences arise from Grassmannian flops: they generalize Seidel–Thomas spherical twists, which can be seen as arising from standard flops. We first give a simple algebraic construction, which is well suited to explicit computations. We then give a geometric construction using spherical functors which we prove is equivalent.
doi:10.1112/s0010437x13007641 fatcat:lgoraxa2gndr7fp3w4mdm2f3em