5 papers
New symplectic singularities from gauge theories
Amihay Hanany, Guhesh Kumaran, Deshuo Liu +1
Families of gauge theories with eight supercharges are found to have a Higgs branch which is an isolated symplectic singularity. These are, in…
Birational geometry of quiver varieties and other GIT quotients
Gwyn Bellamy, Alastair Craw, Travis Schedler
We prove that all projective crepant resolutions of Nakajima quiver varieties satisfying natural conditions are also Nakajima quiver varieties. More generally, we classify the smal…
Singularities in Calogero--Moser Varieties
Gwyn Bellamy, Ruslan Maksimau, Travis Schedler
In this article we describe completely the singularities appearing in Calogero--Moser varieties associated (at any parameter) to the wreath product symplectic reflection groups. We…
Nonprojective crepant resolutions of quiver varieties
Daniel Kaplan, Travis Schedler
In this paper, we construct a large class of examples of proper, nonprojective crepant resolutions of singularities for Nakajima quiver varieties. These include four and six dimens…
Creating quantum projective spaces by deforming q-symmetric algebras
Mykola Matviichuk, Brent Pym, Travis Schedler
We construct a large collection of "quantum projective spaces", in the form of Koszul, Calabi-Yau algebras with the Hilbert series of a polynomial ring. We do so by starting with t…