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Noncommutative differential geometry is a new approach to classical
geometry. It was originally used by Fields Medalist A. Connes in
the theory of foliations, where it led to striking extensions of
Atiyah-Singer index theory. It also may be applicable to hitherto
unsolved geometric phenomena and physical experiments. However,
noncommutative differential geometry was not well understood even
among mathematicians. Therefore, an international symposium on
commutative differential geometry and its applications to physics
was held in Japan, in July 1999. Topics covered included:
deformation problems, Poisson groupoids, operad theory,
quantization problems, and D-branes. The meeting was attended by
both mathematicians and physicists, which resulted in interesting
discussions. This volume contains the refereed proceedings of this
symposium. Providing a state of the art overview of research in
these topics, this book is suitable as a source book for a seminar
in noncommutative geometry and physics.
Noncommutative differential geometry is a new approach to classical
geometry. It was originally used by Fields Medalist A. Connes in
the theory of foliations, where it led to striking extensions of
Atiyah-Singer index theory. It also may be applicable to hitherto
unsolved geometric phenomena and physical experiments.
However, noncommutative differential geometry was not well
understood even among mathematicians. Therefore, an international
symposium on commutative differential geometry and its applications
to physics was held in Japan, in July 1999. Topics covered
included: deformation problems, Poisson groupoids, operad theory,
quantization problems, and D-branes. The meeting was attended by
both mathematicians and physicists, which resulted in interesting
discussions. This volume contains the refereed proceedings of this
symposium.
Providing a state of the art overview of research in these topics,
this book is suitable as a source book for a seminar in
noncommutative geometry and physics.
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