On the differential $K$-theory of moduli stacks
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909463118610432 |
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| author | Grady, Daniel |
| author_facet | Grady, Daniel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03108 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the differential $K$-theory of moduli stacks Grady, Daniel Algebraic Topology Differential Geometry K-Theory and Homology 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. |
| title | On the differential $K$-theory of moduli stacks |
| topic | Algebraic Topology Differential Geometry K-Theory and Homology |
| url | https://arxiv.org/abs/2501.03108 |