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Equivariant cohomology and local invariants of Hessenberg varieties

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.

Identiferoai:union.ndltd.org:uiowa.edu/oai:ir.uiowa.edu:etd-3373
Date01 July 2012
CreatorsInsko, Erik Andrew
ContributorsTymoczko, Julianna, 1975-
PublisherUniversity of Iowa
Source SetsUniversity of Iowa
LanguageEnglish
Detected LanguageEnglish
Typedissertation
Formatapplication/pdf
SourceTheses and Dissertations
RightsCopyright 2012 Erik Andrew Insko

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