11 citations · 24 across the 5 of their papers we have counts for
5 papers
An introduction to equivariant cohomology and homology, following Goresky, Kottwitz, and MacPherson
Julianna S. Tymoczko
This paper provides an introduction to equivariant cohomology and homology using the approach of Goresky, Kottwitz, and MacPherson. When a group G acts suitably on a variety X, the…
Exponents for B-stable ideals
Eric Sommers, Julianna Tymoczko
Let G be a simple algebraic group over the complex numbers containing a Borel subgroup B. Given a B-stable ideal I in the nilradical of the Lie algebra of B, we define natural numb…
Distinguishing numbers for graphs and groups
Julianna S. Tymoczko
A graph G is distinguished if its vertices are labelled by a map ϕ: V(G) \longrightarrow {1,2,...,k} so that no graph automorphism preserves ϕ. The distinguishing number of G is th…
Linear conditions imposed on flag varieties
Julianna S. Tymoczko
We study subvarieties of the flag variety called Hessenberg varieties, defined by certain linear conditions. These subvarieties arise naturally in applications including geometric…
Decomposing Hessenberg varieties over classical groups
Julianna S. Tymoczko
Hessenberg varieties are a family of subvarieties of the flag variety, including the Springer fibers, the Peterson variety, and the entire flag variety itself. The seminal example…