Moduli of flat connections on a surface and the Atiyah-Bott classes

Abstract: Let $\Sigma$ be a compact oriented surface (possibly with boundary), and let $G$ be a compact connected simply connected Lie group. I will describe classes in the K-theory of a moduli space of flat $G$-connections on $\Sigma$. In the case of a closed surface, these classes were introduced by Atiyah and Bott. When the boundary of the surface is non-empty, further investigation leads to a gauge theoretic version of a theorem of Teleman and Woodward.

mathematical physicsalgebraic geometrydifferential geometrygeometric topologyoperator algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Geometry, Physics, and Representation Theory Seminar

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