Quantum Gauge Field Theory in Cohesive Homotopy Type Theory
  We implement in the formal language of homotopy type theory a new set of axioms called cohesion. Then we indicate how the resulting cohesive homotopy type theory naturally serves as a formal foundation for central concepts in quantum gauge field theory. This is a brief survey of work by the authors developed in detail elsewhere. 
Urs Schreiber (Radboud University Nijmegen), Michael Shulman   (University of San Diego)
math-ph cs.LO math.CT math.MP