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Noncommutative Geometry And Physics 3 - Proceedings Of The Noncommutative Geometry And Physics 2008, On K-theory And D-branes & Proceedings Of The Rims Thematic Year 2010 On Perspectives In Deformatio, Hardback Book

Noncommutative Geometry And Physics 3 - Proceedings Of The Noncommutative Geometry And Physics 2008, On K-theory And D-branes & Proceedings Of The Rims Thematic Year 2010 On Perspectives In Deformatio Hardback

Edited by Giuseppe (Bourgogne Univ, France) Dito, Hitoshi (Nagoya Univ, Japan) Moriyoshi, Toshikazu (Nagoya Inst Of Technology, Japan) Natsume, Yoshiaki (Keio Univ, Japan) Maeda, Satoshi (Tohoku Univ, Japan) Watamura, Motoko (Tohoku Univ, Japan) Kotani

Part of the Keio Coe Lecture Series On Mathematical Science series

Hardback

Description

Noncommutative differential geometry is a novel approach to geometry, aimed in part at applications in physics.

It was founded in the early eighties by the 1982 Fields Medalist Alain Connes on the basis of his fundamental works in operator algebras.

It is now a very active branch of mathematics with actual and potential applications to a variety of domains in physics ranging from solid state to quantization of gravity.

The strategy is to formulate usual differential geometry in a somewhat unusual manner, using in particular operator algebras and related concepts, so as to be able to plug in noncommutativity in a natural way.

Algebraic tools such as K-theory and cyclic cohomology and homology play an important role in this field.

It is an important topic both for mathematics and physics.

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