nLab Daniel Grady

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Selected writings

On differential cohomology:

• Daniel Grady, Differential cohomology and Applications, talk at Geometry, Topology & Physics, NYU Abu Dhabi, April 2018 (pdf)

Discussion of twisted differential K-theory and its relation to D-brane charge in type II string theory:

• Daniel Grady, Hisham Sati, Ramond-Ramond fields and twisted differential K-theory (arXiv:1903.08843)

and for KO:

• Daniel Grady, Hisham Sati, Twisted differential KO-theory (arXiv:1905.09085)

On differential Cohomotopy and Hypothesis H:

• Daniel Grady, Hisham Sati, Differential cohomotopy versus differential cohomology for M-theory and differential lifts of Postnikov towers, Journal of Geometry and Physics 165 (2021) 104203 [arXiv:2001.07640, doi:10.1016/j.geomphys.2021.104203]

On locality of extended functorial field theory:

• Daniel Grady, Dmitri Pavlov, Extended field theories are local (arXiv:2011.01208)

On the cobordism hypothesis for extended functorial field theory equipped with geometric structure (such as conformal field theory etc.):

• Daniel Grady, Dmitri Pavlov, The geometric cobordism hypothesis (arXiv:2111.01095)

On the ordinary differential cohomology and differential K-theory of the moduli stack $\mathbf{B}G_{conn}$ of principal connections for a Lie group $G$, in relation to the invariant polynomials for the Lie algebra $\mathfrak{g}$:

• Daniel Grady: On the differential K-theory of moduli stacks [arXiv:2501.03108]

Proof that supergravity C-field flux quantization in stable Cohomotopy (stable Hypothesis H) implies the desired divisibility by 6 of the D=11 supergravity action functional:

• Daniel Grady: Cohomotopy and flux quantization in M-theory [arXiv:2505.24696]

category: people