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On the differential K-theory of moduli stacks

2025/01/06 by Grady, Daniel
#Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2501.03108

Abstract

We compute the connective differential K-theory and the differential cohomology of the moduli stack of principal G-bundles with connection. The results are formulated in terms of invariant polynomials and the representation ring of G. We use the homotopy theory of presheaves of spaces and presheaves of spectra to establish the results.

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