Schreiber
Twisted Differential Nonabelian Cohomology

This unfinished set of notes

• Hisham Sati, Zoran Škoda, Urs Schreiber, Danny Stevenson,

  Twisted Differential Nonabelian Cohomology, (2008)

  (pdf)

is an early precursor that eventually grew into the body of work listed at differential cohomology in a cohesive topos, see there (also below) for introduction, overview and details.

Parts of this material was presented at an Oberwolfach workshop in 2009, in the talk

• Urs Schreiber, Background fields in twisted differential nonabelian cohomology (2009)

Related projects

• differential cohomology in a cohesive topos

  • cohomology

    • Principal ∞-bundles -- models and general theory

    • Fivebrane structures

  • ∞-Chern-Weil theory

    • L-∞ algebra connections

    • Cech cocycles for differential characteristic classes

    • Twisted differential structures

      • Twisted Differential String and Fivebrane Structures

      • The moduli 3-stack of the C-field

    • Higher geometric prequantization

  • ∞-Chern-Simons theory

    • Higher Chern-Weil Derivation of AKSZ Sigma-Models

    • 7d Chern-Simons theory and the 5-brane

    • Extended higher cup-product Chern-Simons theories

  • ∞-Wess-Zumino-Witten theory

  • ∞-geometric prequantization