Titlebook: Elements of Noncommutative Geometry; José M. Gracia-Bondía,Joseph C. Várilly,Héctor Fig Textbook 2001 Springer Science+Business Media New

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灰姑娘

José M. Gracia-Bondía,Joseph C. Várilly,Héctor Fig

莎草

Noncommutative Differential Calculioncommutative geometry proper. Along this road, near the end, we arrive at the Hochschild-Kostant-Rosenberg-Connes theorem, which amounts to a homological construction of differential forms. This is one of the key results in this book, and in the whole of noncommutative geometry. Along the way, we p

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Birkh?user Advanced Texts‘ Basler Lehrbücherhttp://image.papertrans.cn/e/image/307616.jpg

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Acid Soils and Acid Sulfate Soils,it provides a kind of abstract version of quantum field theory, which will surface in Part IV. The main result, a famous theorem by Shale and Stine- spring, is of foremost importance in physics. Furthermore, it points to the theory of Fredholm modules of Chapter 8, and thus deserves to be counted as a source of noncommutative geometry.

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Idris Tolgay Ocal MD,Mohiedean Ghofrani MDrmines a unique spin structure on .; and that, among all abstract spin geometries in the sense of Section 10.5, compatible with that structure, the one determined by the Dirac operator is singled out by a variational principle.

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Connes’ Spin Manifold Theoremrmines a unique spin structure on .; and that, among all abstract spin geometries in the sense of Section 10.5, compatible with that structure, the one determined by the Dirac operator is singled out by a variational principle.

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Kreimer-Connes-Moscovici Algebrason foliations 114, and the ones introduced by Kreimer in connection with perturbative renormalization theory 296. Both types of Hopf algebras were originally found as organizing principles to simplify some computations. This is not unexpected, in view of our discussion at the end of Chapter 1.