Quantum geometry of PDE's
This is an extensive review of some recent developments in the applications of a variety of techniques from algebraic topology to quantum field theory. The main aim is to show how category theory, theory of fibre bundles, cobordism and spectral sequences can be exploited for a study of the geometry of partial differential equations and hence that of the quantization of nonlinear partial differential equations. The paper ends with a bibliography listing over seventy five topical works of relevance to the subject.
scientific article; zbMATH DE number 220448
scientific article