5 papers · 1 filter
Quiver braid group action for a 3-fold crepant resolution
Will Donovan, Luyu Zheng
The 3-fold cyclic quotient singularity denoted admits a crepant resolution X with three exceptional Hirzebruch surfaces intersecting pairwise along curves. We…
Derived symmetries for crepant contractions to hypersurfaces
W. Donovan
Given a crepant contraction f to a singularity X, we may expect a derived symmetry of the source of f. Under easily-checked geometric assumptions, I construct such a symmetry when…
Window categories for a simple -fold flop of Grassmannian type
Will Donovan, Wahei Hara, MichaÅ Kapustka +1
The local simple -fold flop of Grassmannian type is a birational transformation between total spaces of vector bundles on the Grassmannians and $\mathrm{Gr}(…
Stringy Kähler moduli, mutation and monodromy
Will Donovan, Michael Wemyss
This paper gives the first description of derived monodromy on the stringy Kähler moduli space (SKMS) for a general irreducible flopping curve C in a 3-fold X with mild singularit…
Root stacks and periodic decompositions
Agnieszka Bodzenta, Will Donovan
For an effective Cartier divisor D on a scheme X we may form an nth root stack. Its derived category is known to have a semiorthogonal decomposition with components given by D and…