附註:Includes bibliographical references (pages 461-471) and index.
Quantized PDE's I: Noncommutative manifolds -- Quantized PDE's II: Noncommutative PDE's -- Quantized PDE's III: Quantizations of commutative PDE's -- Addendum I: Bordism groups and the (NS)-problem -- Addendum I: Bordism groups and variational PDE's.
摘要:This book presents, for the first time, a systematic formulation ofthe geometric theory of noncommutative PDE's which is suitable enoughto be used for a mathematical description of quantum dynamics andquantum field theory. A geometric theory of supersymmetric quantumPDE's is also considered, in order to describe quantumsupergravity. Covariant and canonical quantizations of (super) PDE'sare shown to be founded on the geometric theory of PDE's and toproduce quantum (super) PDE's by means of functors from the categoryof commutative (super) PDE's to the category of quantum (super)PDE's. Global pro.
