2 citations · 3 across the 3 of their papers we have counts for
5 papers
Geometric and combinatorial properties of extended Springer fibers
William Graham, Martha Precup, Amber Russell
We consider a generalization of the Springer resolution studied in earlier work of the authors, called the extended Springer resolution. In type , this map plays a role in Luszt…
A new approach to the generalized Springer correspondence
William Graham, Martha Precup, Amber Russell
The Springer resolution of the nilpotent cone is used to give a geometric construction of the irreducible representations of Weyl groups. Borho and MacPherson obtain the Springer c…
Formality and Lusztig's generalized Springer correspondence
Laura Rider, Amber Russell
We prove a derived equivalence between each block of the derived category of sheaves on the nilpotent cone and the category of differential graded modules over a degeneration of Lu…
Perverse Sheaves on the Nilpotent Cone and Lusztig's Generalized Springer Correspondence
Laura Rider, Amber Russell
In this note, we consider perverse sheaves on the nilpotent cone. We prove orthogonality relations for the equivariant category of sheaves on the nilpotent cone in a method similar…
Graham's Variety and Perverse Sheaves on the Nilpotent Cone
Amber Russell
In recent work, Graham has constructed a variety with a map to the nilpotent cone which is similar in some ways to the Springer resolution. One aspect in which Graham's map differs…