Nuclear Physics

Noncommutative Differential Geometry and Its Applications to by Yoshiaki Maeda,Hitoshi Moriyoshi,Hideki Omori,Daniel

By Yoshiaki Maeda,Hitoshi Moriyoshi,Hideki Omori,Daniel Sternheimer,Tatsuya Tate,Satoshi Watamura

Noncommutative differential geometry is a brand new method of classical geometry. It was once initially utilized by Fields Medalist A. Connes within the thought of foliations, the place it ended in extraordinary extensions of Atiyah-Singer index conception. It additionally will be appropriate to hitherto unsolved geometric phenomena and actual experiments.
However, noncommutative differential geometry was once now not good understood even between mathematicians. consequently, a world symposium on commutative differential geometry and its functions to physics was once held in Japan, in July 1999. subject matters lined incorporated: deformation difficulties, Poisson groupoids, operad thought, quantization difficulties, and D-branes. The assembly was once attended by way of either mathematicians and physicists, which ended in attention-grabbing discussions. This quantity includes the refereed complaints of this symposium.
Providing a state-of-the-art assessment of study in those subject matters, this ebook is appropriate as a resource ebook for a seminar in noncommutative geometry and physics.

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