標(biāo)題: Titlebook: Elements of Noncommutative Geometry; José M. Gracia-Bondía,Joseph C. Várilly,Héctor Fig Textbook 2001 Springer Science+Business Media New [打印本頁(yè)] 作者: 解放 時(shí)間: 2025-3-21 19:39
書(shū)目名稱(chēng)Elements of Noncommutative Geometry影響因子(影響力)
書(shū)目名稱(chēng)Elements of Noncommutative Geometry影響因子(影響力)學(xué)科排名
書(shū)目名稱(chēng)Elements of Noncommutative Geometry網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱(chēng)Elements of Noncommutative Geometry網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱(chēng)Elements of Noncommutative Geometry被引頻次
書(shū)目名稱(chēng)Elements of Noncommutative Geometry被引頻次學(xué)科排名
書(shū)目名稱(chēng)Elements of Noncommutative Geometry年度引用
書(shū)目名稱(chēng)Elements of Noncommutative Geometry年度引用學(xué)科排名
書(shū)目名稱(chēng)Elements of Noncommutative Geometry讀者反饋
書(shū)目名稱(chēng)Elements of Noncommutative Geometry讀者反饋學(xué)科排名
作者: 灰姑娘 時(shí)間: 2025-3-21 21:48
José M. Gracia-Bondía,Joseph C. Várilly,Héctor Fig作者: 莎草 時(shí)間: 2025-3-22 01:42
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作者: arbovirus 時(shí)間: 2025-3-22 05:40
Birkh?user Advanced Texts‘ Basler Lehrbücherhttp://image.papertrans.cn/e/image/307616.jpg作者: Predigest 時(shí)間: 2025-3-22 12:26
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.作者: HEAVY 時(shí)間: 2025-3-22 16:44
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.作者: HEAVY 時(shí)間: 2025-3-22 17:28 作者: Choreography 時(shí)間: 2025-3-22 21:55 作者: conspicuous 時(shí)間: 2025-3-23 02:21
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.作者: 安裝 時(shí)間: 2025-3-23 08:25
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.作者: 噱頭 時(shí)間: 2025-3-23 12:51 作者: 嚴(yán)重傷害 時(shí)間: 2025-3-23 17:27
D. S. Deenadayal,Vyshanavi BommakantiNoncommutative topology brings techniques of operator algebra to algebraic topology —and vice versa. It is relatively difficult to extend the standard homotopy and (co)homology functors. On the other hand, Atiyah’s .functor 12 generalizes very smoothly. We shall continue with that.作者: 混雜人 時(shí)間: 2025-3-23 19:14 作者: 邪惡的你 時(shí)間: 2025-3-23 22:56
https://doi.org/10.1007/978-3-0348-8992-6In this chapter, our goal is to construct geometries on commutative spaces. That is to say, given a noncommutative space admitting a differential calculus that is in fact commutative —in other words, an algebra A=.∞ (.) for some differential manifold .— we shall find the extra structures that give rise to geometries.作者: 壓倒 時(shí)間: 2025-3-24 02:49
Jean-Pierre Droz,Riccardo A. AudisioThis last part of the book sets out to explore several interfaces between noncommutative geometry (NCG) and physics. We have chosen to report on the avenues that look more promising, as the century draws to a close, rather than on the more established “applications”.作者: corporate 時(shí)間: 2025-3-24 07:36 作者: exclamation 時(shí)間: 2025-3-24 13:01
The Noncommutative IntegralThe road to integral calculus on noncommutative manifolds passes through spectral analysis. In fact, inasmuch as it tries to discover the geometry of manifolds from the analysis of operators strategically associated to them, spectral analysis . noncommutative geometry ..作者: Perennial長(zhǎng)期的 時(shí)間: 2025-3-24 15:06
Commutative GeometriesIn this chapter, our goal is to construct geometries on commutative spaces. That is to say, given a noncommutative space admitting a differential calculus that is in fact commutative —in other words, an algebra A=.∞ (.) for some differential manifold .— we shall find the extra structures that give rise to geometries.作者: 松軟無(wú)力 時(shí)間: 2025-3-24 22:24 作者: 津貼 時(shí)間: 2025-3-25 02:06 作者: 沉積物 時(shí)間: 2025-3-25 06:15 作者: GILD 時(shí)間: 2025-3-25 09:49
Sarcomas More Common in Childrent operator . As we shall see later on, the compact operators can be regarded as “infinitesimal elements” of ?(?), and it is of interest to know what properties of an operator are unchanged by compact perturbations. For instance, an invertible operator does not remain invertible (think of1–|ξ > <ξ| w作者: 帶傷害 時(shí)間: 2025-3-25 14:38 作者: essential-fats 時(shí)間: 2025-3-25 17:02
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作者: Acetaldehyde 時(shí)間: 2025-3-25 23:33 作者: jet-lag 時(shí)間: 2025-3-26 01:31
Gerald J. Berry,I. Ross McDougallative geometry: that the structures we call geometrical are at the same time, and perhaps more fundamentally, operator-theoretic in nature. The transition to the noncommutative world entails putting the metric-generating operator front and centre. This modern approach to geometry is played out on a 作者: aptitude 時(shí)間: 2025-3-26 06:33
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.作者: 下邊深陷 時(shí)間: 2025-3-26 09:46
Epidemiology, Etiology, and Histopathologythus a source of noncommutative geometry. Having come so far, it would be a pity not to develop fermion quantum dynamics in external fields, which comes straight from the spin representation. As on many occasions in this book, we set to work here on an enterprise of translation; in this case, to ren作者: incision 時(shí)間: 2025-3-26 13:08 作者: 羅盤(pán) 時(shí)間: 2025-3-26 18:31 作者: ORBIT 時(shí)間: 2025-3-27 00:13 作者: Debate 時(shí)間: 2025-3-27 01:25 作者: 率直 時(shí)間: 2025-3-27 06:08
Noncommutative Topology: Spacesangent lines directly; but already for cubic curves it pays to examine first the ideal of all polynomials that vanish on the curve: in this way the study of an algebraic variety (the zero set of a given finite collection of polynomials) is replaced by the study of the corresponding polynomial ideal.作者: 性上癮 時(shí)間: 2025-3-27 10:25 作者: 雄辯 時(shí)間: 2025-3-27 17:28 作者: 殺人 時(shí)間: 2025-3-27 18:35
Finite-dimensional Clifford Algebras and Spinorstheir linear-algebraic and Lie-theoretic underpinnings, namely Clifford algebra. We chose not to dispense with it in this book, despite the existence of many excellent treatments, mainly for ease of reference. In particular, the infinitesimal spin representation is needed to deal with the spin conne作者: Anthrp 時(shí)間: 2025-3-28 00:29 作者: enterprise 時(shí)間: 2025-3-28 04:34 作者: 浪費(fèi)時(shí)間 時(shí)間: 2025-3-28 07:18
Spectral Triplesative geometry: that the structures we call geometrical are at the same time, and perhaps more fundamentally, operator-theoretic in nature. The transition to the noncommutative world entails putting the metric-generating operator front and centre. This modern approach to geometry is played out on a 作者: 有機(jī)體 時(shí)間: 2025-3-28 11:47
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.作者: agglomerate 時(shí)間: 2025-3-28 17:51
Quantum Theorythus a source of noncommutative geometry. Having come so far, it would be a pity not to develop fermion quantum dynamics in external fields, which comes straight from the spin representation. As on many occasions in this book, we set to work here on an enterprise of translation; in this case, to ren作者: 食草 時(shí)間: 2025-3-28 22:06
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.作者: Heart-Rate 時(shí)間: 2025-3-29 01:48
Noncommutative Topology: Vector Bundlesgical partners corresponding to modules over C(.); under suitable conditions, these partners turn out to be the vector bundles over M. The heart of this chapter is thus the Serre-Swan theorem, establishing that the categories of finitely generated projective modules over (.) and the category of vector bundles over . are equivalent.作者: CHOP 時(shí)間: 2025-3-29 06:41 作者: BLAND 時(shí)間: 2025-3-29 10:10
Quantum Theoryes straight from the spin representation. As on many occasions in this book, we set to work here on an enterprise of translation; in this case, to render in algebraic terms the quantization of wave equations of the Dirac type. Most of the footwork has already been laid in Section 6.4.作者: 弄臟 時(shí)間: 2025-3-29 15:09 作者: 做作 時(shí)間: 2025-3-29 16:59 作者: 殘暴 時(shí)間: 2025-3-29 21:06
Christina Rosenlund,Rico Frederik Schou set, specifically the doubly periodic meromorphic functions: Weierstrass opened up a new approach to geometry by studying directly the collection of complex functions that satisfy an algebraic addition theorem, and derived the point set as a consequence 51.
