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Noncommutative Geometry and Physics 3
Giuseppe DitoMotoko KotaniYoshiaki Maeda
其他書名
Proceedings of the Noncommutative Geometry and Physics 2008, on K-theory and D-brane, Shonan Village Center, Japan, 18-22 February 2008 ; [proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry, Kyoto University, Japan, 1 April 2010-31 March 2011]
出版World Scientific, 2013
主題Mathematics / AppliedMathematics / Geometry / GeneralScience / Physics / Mathematical & Computational
ISBN981442501X9789814425018
URLhttp://books.google.com.hk/books?id=2YW6CgAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.