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arXiv · 2607.07900

A technique for computing oriented cohomology rings of semisimple algebraic groups

Raj Gandhi
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Abstract

We present a technique for computing a finite set of generators and relations for the ring $\mathrm{h}^*(G)$ in terms of formal Demazure operators, where $\mathrm{h}^*$ is an oriented cohomology theory satisfying the localization axiom and $G$ is a semisimple algebraic group. Using this technique, we give minimal presentations for the oriented cohomology rings of the adjoint and simply-connected groups of types $A_1$, $A_2$, and $B_2$.

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Raj Gandhi. 2026-07-08. A technique for computing oriented cohomology rings of semisimple algebraic groups. https://arxiv.org/abs/2607.07900

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