Schreiber The Character Map in Twisted Equivariant Non-Abelian Cohomology

An article in preparation:

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• Hisham Sati, Urs Schreiber, et al.

  
  

  The character map in twisted equivariant non-abelian cohomology

constructing the joint generalization of the Chern-Dold character to

1. twisted

2. equivariant

3. non-abelian

generalized cohomology theory, in the generality where the equivariant classifying spaces are not required to be equivariantly simply connected.

The homotopy fibers of this character map formed in smooth $\infty$-groupoids constitute:

• Twisted Equivariant Differential non-abelian generalized cohomology.

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Based on:

• Proper Orbifold Cohomology

• The Character Map in Twisted Non-Abelian Cohomology

• The Character Map in Equivariant Twistorial Cohomotopy

• The Character Map in Twisted Equivariant Non-Abelian Cohomology

• Equivariant principal infinity-bundles

Applications:

• Anyonic defect branes in TED-K-theory

• Anyonic topological order in TED K-theory

• Topological Quantum Programming in TED-K

Related talks:

• TED K-theory of Cohomotopy moduli spaces and Anyonic Topological Order

• Knots for quantum computation from defect branes