Corpus ID: 237940864

Differential Cohomology: Categories, Characteristic Classes, and Connections

@inproceedings{Amabel2021DifferentialCC,
  title={Differential Cohomology: Categories, Characteristic Classes, and Connections},
  author={Araminta Amabel and Arun Debray and Peter J. Haine},
  year={2021}
}
We give an overview of differential cohomology from a modern, homotopy-theoretic perspective in terms of sheaves on manifolds. Although modern techniques are used, we base our discussion in the classical precursors to this modern approach, such as Chern-Weil theory and differential characters, and include the necessary background to increase accessibility. Special treatment is given to differential characteristic classes, including a differential lift of the first Pontryagin class. Multiple… Expand
2 Citations
Interacting SPT phases are not Morita invariant
Class D topological superconductors have been described as invertible topological phases protected by charge Q and particle-hole symmetry C. A competing description is that class D has no internalExpand
O ct 2 02 1 Interacting SPT phases are not Morita invariant
Class D topological superconductors have been described as invertible topological phases protected by charge Q and particle-hole symmetry C. A competing description is that class D has no internalExpand