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

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 used to be initially utilized by Fields Medalist A. Connes within the idea of foliations, the place it ended in awesome extensions of Atiyah-Singer index conception. It additionally can be acceptable to hitherto unsolved geometric phenomena and actual experiments.
However, noncommutative differential geometry used to be no longer good understood even between mathematicians. for that reason, a world symposium on commutative differential geometry and its functions to physics was once held in Japan, in July 1999. issues coated integrated: deformation difficulties, Poisson groupoids, operad conception, quantization difficulties, and D-branes. The assembly was once attended by way of either mathematicians and physicists, which led to attention-grabbing discussions. This quantity includes the refereed lawsuits of this symposium.
Providing a state-of-the-art evaluate of analysis in those subject matters, this booklet is acceptable as a resource publication for a seminar in noncommutative geometry and physics.

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