13 citations · 43 across the 8 of their papers we have counts for
5 papers · 1 filter
Hessenberg varieties are not pure dimensional
Julianna S. Tymoczko
We study a family of subvarieties of the flag variety defined by certain linear conditions, called Hessenberg varieties. We compare them to Schubert varieties. We prove that some S…
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…
Paving Hessenberg varietes by affines
Julianna S. Tymoczko
Regular nilpotent Hessenberg varieties form a family of subvarieties of the flag variety arising in the study of quantum cohomology, geometric representation theory, and numerical…
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…