The Heisenberg Category of a Category

Adam Gyenge, Budapest University of Technology and Economics, Hungary. Clemens Koppensteiner, University of Oxford, United Kingdom. Timothy Logvinenko, Cardiff University, United Kingdom

Chapters; 1. Introduction; 2. Preliminaries; 3. The Additive Heisenberg $2$-category; 4. Preliminaries on DG\xspace Categories; 5. The DG\xspace Heisenberg $2$-category; 6. Structure of the Heisenberg Category; 7. The Categorical Fock Space; 8. Structure of the Categorical Fock Space