Quantum geometry of PDE's
type: Item
instance of: scholarly article
title: Quantum geometry of PDE's
zbMATH Open document ID: 0771.58024
DOI: 10.1016/0034-4877(91)90063-S
author: Agostino Prástaro
published in: Reports on Mathematical Physics
publication date: 1993-06-29T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 35J45
Mathematics Subject Classification ID: 57R77
Mathematics Subject Classification ID: 81T70
zbMATH DE Number: 220448
zbMATH Keywords: quantization
zbMATH Keywords: linear partial differential equations
zbMATH Keywords: spectral sequences
zbMATH Keywords: cobordism
zbMATH Keywords: bibliography
reviewed by: Chandra Shekhar Sharma
MaRDI profile type: Publication
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