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arXiv · 1604.05988

Primary operations in differential cohomology

Daniel Grady·Hisham Sati
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Abstract

We characterize primary operations in differential cohomology via stacks, and illustrate by differentially refining Steenrod squares and Steenrod powers explicitly. This requires a delicate interplay between integral, rational, and mod p cohomology, as well as cohomology with U(1) coefficients and differential forms. Along the way we develop computational techniques in differential cohomology, including a Künneth decomposition, that should also be useful in their own right, and point to applications to higher geometry and mathematical physics.

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Daniel Grady, Hisham Sati. 2023-09-08. Primary operations in differential cohomology. https://doi.org/10.1016/j.aim.2018.07.019

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