Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families
This paper formulates and proves an Atiyah-Singer-type index theorem for gauge-equivariant \(K\)-theory. Specifically, for \(G\) a compact Lie group, the authors establish a coincidence of the analytic and topological indices of a family of gauge-invariant elliptic differential operators on a principal \(G\)-bundle.
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