4 citations · 4 across the 4 of their papers we have counts for
5 papers · 1 filter
Relating derived equivalences for simplices of higher-dimensional flops
W. Donovan
I study a sequence of singularities in dimension 4 and above, each given by a cone of rank 1 tensors of a certain signature, which have crepant resolutions whose exceptional loci a…
Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence
Will Donovan
The Pfaffian-Grassmannian correspondence relates certain pairs of derived equivalent non-birational Calabi-Yau 3-folds. Given such a pair, I construct a set of derived equivalences…
Mirror symmetry for perverse schobers from birational geometry
W. Donovan, T. Kuwagaki
Perverse schobers are categorical analogs of perverse sheaves. Examples arise from varieties admitting flops, determined by diagrams of derived categories of coherent sheaves assoc…
Applications of noncommutative deformations
W. Donovan
For a general class of contractions of a variety X to a base Y, I discuss recent joint work with M. Wemyss defining a noncommutative enhancement of the locus in Y over which the co…
Grassmannian twists, derived equivalences and brane transport
Will Donovan
This note is based on a talk given at String-Math 2012 in Bonn, on a joint paper with Ed Segal. We exhibit derived equivalences corresponding to certain Grassmannian flops. The con…