Oriented Cohomology Rings of the Semisimple Linear Algebraic Groups of Ranks 1 and 2

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Title: Oriented Cohomology Rings of the Semisimple Linear Algebraic Groups of Ranks 1 and 2
Authors: Gandhi, Raj
Date: 2021-08-23
Abstract: In this thesis, we compute minimal presentations in terms of generators and relations for the oriented cohomology rings of several semisimple linear algebraic groups of ranks 1 and 2 over algebraically closed fields of characteristic 0. The main tools we use in this thesis are the combinatorics of Coxeter groups and formal group laws, and recent results of Calm\`es, Gille, Petrov, Zainoulline, and Zhong, which relate the oriented cohomology rings of flag varieties and semisimple linear algebraic groups to the dual of the formal affine Demazure algebra.
URL: http://hdl.handle.net/10393/42566
http://dx.doi.org/10.20381/ruor-26786
CollectionThèses, 2011 - // Theses, 2011 -
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