nLab
twisted equivariant differential K-theory

Contents

Contents

Idea

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

  1. twisted K-theory

  2. equivariant K-theory

  3. differential K-theory

hence the joint generalization of

  1. twisted equivariant K-theory

  2. twisted differential K-theory

  3. equivariant differential K-theory.

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.

References

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.