Schreiber Twisted Equivariant Differential non-abelian generalized cohomology

An article in preparation:

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• Hisham Sati, Urs Schreiber, et al.

  
  

  Twisted Equivariant Differential non-abelian generalized cohomology

on the joint combination of

1. Twisted

2. Equivariant

3. Differential

non-abelian$\;$generalized cohomology theory, in general (“TED-cohomology”), and the example of twisted equivariant differential K-theory/Tate K-theory, in particular, as required by the conjectural K-theory classification of D-brane charge and the K-theory classification of topological phases of matter.

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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

• Twisted equivariant differential (TED) K-theory via diffeological stacks

  talk at Global Diffeology Seminar, 03 Nov 2022

  slides: pdf