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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
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
