By Christian Duval, Pierre B. A. Lecomte (auth.), Yoshiaki Maeda, Hitoshi Moriyoshi, Hideki Omori, Daniel Sternheimer, Tatsuya Tate
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 outstanding extensions of Atiyah-Singer index concept. It additionally might be appropriate to hitherto unsolved geometric phenomena and actual experiments.
However, noncommutative differential geometry used to be now not good understood even between mathematicians. for this reason, a world symposium on commutative differential geometry and its purposes to physics was once held in Japan, in July 1999. themes lined incorporated: deformation difficulties, Poisson groupoids, operad thought, quantization difficulties, and D-branes. The assembly was once attended by means of either mathematicians and physicists, which led to fascinating discussions. This quantity includes the refereed court cases of this symposium.
Providing a cutting-edge assessment of study in those subject matters, this e-book is acceptable as a resource ebook for a seminar in noncommutative geometry and physics.