4 citations · 8 across the 10 of their papers we have counts for
10 papers
Category for Lie superalgebras
Chun-Ju Lai, Daniel K. Nakano, Arik Wilbert
The authors define a Category for any quasi-reductive Lie superalgebra with respect to a triangular decomposition. This much needed approach unifies ma…
Two-row Delta Springer varieties
Abel Lacabanne, Pedro Vaz, Arik Wilbert
We study the geometry and topology of -Springer varieties associated with two-row partitions. These varieties were introduced in recent work by Griffin-Levinson-Woo to give a ge…
Irreducible components of two-row Springer fibers for all classical types
Mee Seong Im, Chun-Ju Lai, Arik Wilbert
We give an explicit description of the irreducible components of two-row Springer fibers for all classical types using cup diagrams. Cup diagrams can be used to label the irreducib…
A study of irreducible components of Springer fibers using quiver varieties
Mee Seong Im, Chun-Ju Lai, Arik Wilbert
It is a remarkable theorem by Maffei--Nakajima that the Slodowy variety, which is a subvariety of the resolution of the nilpotent cone, can be realized as a Nakajima quiver variety…
Real Springer fibers and odd arc algebras
Jens Niklas Eberhardt, Grégoire Naisse, Arik Wilbert
We give a topological description of the two-row Springer fiber over the real numbers. We show its cohomology ring coincides with the oddification of the cohomology ring of the com…
Irreducible components of two-row Springer fibers and Nakajima quiver varieties
Mee Seong Im, Chun-Ju Lai, Arik Wilbert
We give an explicit description of the irreducible components of two-row Springer fibers in type A as closed subvarieties in certain Nakajima quiver varieties in terms of quiver re…
Exotic Springer fibers for orbits corresponding to one-row bipartitions
Neil Saunders, Arik Wilbert
We study the geometry and topology of exotic Springer fibers for orbits corresponding to one-row bipartitions from an explicit, combinatorial point of view. This includes a detaile…
Two-block Springer fibers of types C and D: a diagrammatic approach to Springer theory
Catharina Stroppel, Arik Wilbert
We explain an elementary topological construction of the Springer representation on the homology of (topological) Springer fibers of types C and D in the case of nilpotent endomorp…
Singular TQFTs, foams and type D arc algebras
Michael Ehrig, Daniel Tubbenhauer, Arik Wilbert
We combinatorially describe the -category of singular cobordisms, called (rank one) foams, which governs the functorial version of Khovanov homology. As an application we topolo…
Topology of two-row Springer fibers for the even orthogonal and symplectic group
Arik Wilbert
We construct an explicit topological model (similar to the topological Springer fibers appearing in work of Khovanov and Russell) for every two-row Springer fiber associated with t…