Cohomotopy Theory and Branes

a talk that I once gave:

  • Urs Schreiber:

    Cohomotopy Theory and Branes

    Geometry, Topology & Physics

    Abu Dhabi, March 2020


Abstract. At the heart of the unification of geometry with topology (read: homotopy theory) in physics is “Dirac charge quantization”: The fluxes/charges of fields/branes are cocycles in a suitable generalized differential cohomology theory. While for the ordinary electromagnetic field/magnetic monopoles this is ordinary differential cohomology in degree 2, Hypothesis H says that for the supergravity C-field/M-branes it is differential Cohomotopy theory in degree 4. The talk means to indicate some ingredients and some consequences of this statement.

Based on:

Related talk notes:

Last revised on March 7, 2020 at 06:49:42. See the history of this page for a list of all contributions to it.