Introduction to Higher Gauge Theory via Differential Nonabelian Cohomology in Cohesive Homotopy Theory
Hisham Sati, Urs Schreiber
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Source: Crossref
Published: Oct 26, 2026
DOI: 10.1142/s0129055x26500194
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This is a streamlined introduction to the global (infrared) completion of Maxwell-type higher gauge fields (as in the higher gauge sectors of higher-dimensional supergravity and its brane probes) by electromagnetic flux quantization in differential nonabelian cohomology, using cohesive homotopy theory. Applications include D/NS-brane charge in (unstable) K-theory, M-brane charge in unstable Cohomotopy, and geometric engineering of topological quantum order on probe M5-branes.
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