Date of Degree
2012
Document Type
dissertation
Degree Name
PhD (Doctor of Philosophy)
Department
Mathematics
First Advisor
Julianna S. Tymoczko
Abstract
Nilpotent Hessenberg varieties are a family of subvarieties of the flag variety, which include the Springer varieties, the Peterson variety, and the whole flag variety. In this thesis I give a geometric proof that the cohomology of the flag variety surjects onto the cohomology of the Peterson variety; I provide a combinatorial criterion for determing the singular loci of a large family of regular nilpotent Hessenberg varieties; and I describe the equivariant cohomology of any regular nilpotent Hessenberg variety whose cohomology is generated by its degree two classes.
Pages
vi, 113
Bibliography
108-113
Copyright
Copyright 2012 Erik Andrew Insko
Recommended Citation
Insko, Erik Andrew. "Equivariant cohomology and local invariants of Hessenberg varieties." dissertation, University of Iowa, 2012.
http://ir.uiowa.edu/etd/3315.