Schreiber Twisted differential structures

This is about an article of ours, in preparation

• Domenico Fiorenza, Hisham Sati, Urs Schreiber,

  Twisted differential structures

on twisted differential c-structures: twisted principal ∞-bundles with ∞-connections.

Central examples are

• twisted differential spin structures;

• twisted differential string structures;

• twisted differential fivebrane structures.

• differential T-duality pairs

Related entries

• differential cohomology in a cohesive topos

  • Synthetic Quantum Field Theory

    • Quantum gauge field theory in Cohesive homotopy type theory

    • Type-semantics for quantization

  • cohomology

    • Principal ∞-bundles – theory, presentations and applications

    • 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

  • ∞-Chern-Simons theory

    • Higher Chern-Weil Derivation of AKSZ Sigma-Models

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

  • ∞-Wess-Zumino-Witten theory

    • The brane bouquet

  • Higher geometric prequantum theory

    • Classical field theory via higher differential geometry

    • L-∞ algebras of local observables from higher prequantum bundles

    • Local prequantum field theory

  • Motivic quantization of local prequantum field theory

    • Geometric quantization of symplectic and Poisson manifolds

    • Cohomological quantization of local prequantum boundary field theory

References

See differential cohomology in a cohesive topos – references .