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arXiv · 2501.03108

On the differential $K$-theory of moduli stacks

Daniel Grady
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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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Daniel Grady. 2025-01-06. On the differential $K$-theory of moduli stacks. https://arxiv.org/abs/2501.03108

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