Projektnummer

0062643

Zusammenfassung

The professorship investigates higher structures in algebra and geometry with an emphasis on applications to topological quantum field theory in order to develop a novel theory of categorified homological algebra furnishing effective tools for mathematics and physics. The long-term interdisciplinary goal within this general context is the description of a physical theory, known as the topological A-model, in terms of a proposed new mathematical theory of categorified homology. The innovation includes a new, computationally amenable description of topological Fukaya categories which wou...