under construction
A differential Cohomotopy cohomology theory is refinement of Cohomotopy cohomology theory to a differential cohomology theory.
(…)
| flavours of Cohomotopy cohomology theory | cohomology (full or rational) | equivariant cohomology (full or rational) |
|---|---|---|
| non-abelian cohomology | Cohomotopy (full or rational) | equivariant Cohomotopy |
| twisted cohomology (full or rational) | twisted Cohomotopy | twisted equivariant Cohomotopy |
| stable cohomology (full or rational) | stable Cohomotopy | equivariant stable Cohomotopy |
| differential cohomology | differential Cohomotopy | equivariant differential cohomotopy |
| persistent cohomology | persistent Cohomotopy | persistent equivariant Cohomotopy |
Discussion of differential stable Cohomotopy:
Discussion of differential non-abelian (unstable) Cohomotopy:
Domenico Fiorenza, Hisham Sati, Urs Schreiber, §4 in: The WZW term of the M5-brane and differential cohomotopy, J. Math. Phys. 56 102301 (2015) [arXiv:1506.07557, doi:10.1063/1.4932618]
Daniel Grady, Hisham Sati, Def. 3.2 in: 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]
Domenico Fiorenza, Hisham Sati, Urs Schreiber, Ex. 9.3 in: The Character Map in Nonabelian Cohomology — Twisted, Differential, Generalized, World Scientific (2023) [arXiv:2009.11909, doi:10.1142/13422]
Last revised on January 6, 2024 at 05:46:29. See the history of this page for a list of all contributions to it.