Homology of based loop groups and quantum cohomology of flag varieties

Abstract: K be a compact Lie group and G its complexification. There are three ring maps with the same source H_*(\Omega K) and target QH(G/P) which arise from the work of (1) Peterson/Lam-Shimozono, (2) Seidel/Savelyev and (3) Ma'u-Wehrheim-Woodward/Evans-Lekili respectively. In this talk, I will discuss how these maps are related and the applications.

algebraic geometrydifferential geometrygeometric topologysymplectic geometry

Audience: researchers in the topic

Free Mathematics Seminar

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