The notion of twisted equivariant differential K-theory is meant to be the joint generalization of all three variations of topological K-theory given by
hence the joint generalization of
It is this joint generalization that is, ultimately, required by the D-brane charge quantization in topological K-theory conjectured to apply to non-perturbative type II string theory.
The construction of full twisted & equivariant & differential cohomology theories had long been left open. It does follow as an immediate consequence of the twisted & equivariant Chern-Dold character and as such is discussed in:
Created on March 31, 2021 at 05:23:36. See the history of this page for a list of all contributions to it.