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This book presents, for the first time, a systematic formulation of
the geometric theory of noncommutative PDE's which is suitable enough
to be used for a mathematical description of quantum dynamics and
quantum field theory. A geometric theory of supersymmetric quantum
PDE's is also considered, in order to describe quantum
supergravity. Covariant and canonical quantizations of (super) PDE's
are shown to be founded on the geometric theory of PDE's and to
produce quantum (super) PDE's by means of functors from the category
of commutative (super) PDE's to the category of quantum (super)
PDE's. Global properties of solutions to (super) (commutative) PDE's
are obtained by means of their integral bordism groups.
World Scientific Publishing Company; January 2004
500 pages; ISBN 9789812562517
Read online, or download in secure PDF format
500 pages; ISBN 9789812562517
Read online, or download in secure PDF format
