Autore	Marcolli, Matilde
Pubbl/distr/stampa	Providence, R. I. : American Mathematical Society, c2005
Descrizione fisica	xi, 136 p. : ill. ; 26 cm
Disciplina	516.36
Collana	University lecture series, 1047-3998 ; 36
Soggetto topico	Noncommutative differential geometry
ISBN	0821838334
Classificazione	AMS 58B34 LC QA641.M34
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNISALENTO-991001296549707536

Autore	Bergh M. van den
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , 2001
Descrizione fisica	1 online resource (157 p.)
Disciplina	510 s 516.3/6
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Noncommutative differential geometry Blowing up (Algebraic geometry)
Soggetto genere / forma	Electronic books.
ISBN	1-4704-0327-7
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Chapter 1. Introduction""; ""1.1. Motivation""; ""1.2. Construction""; ""1.3. General properties""; ""1.4. Non-commutative Del-Pezzo surfaces""; ""1.5. Exceptional simple objects""; ""1.6. Non-commutative cubic surfaces""; ""1.7. Acknowledgement""; ""Chapter 2. Preliminaries on category theory""; ""Chapter 3. Non-commutative geometry""; ""3.1. Bimodules""; ""3.2. Graded modules, bimodules and algebras""; ""3.3. Quotients of the identity functor""; ""3.4. Ideals in the identity functor""; ""3.5. Quasi-schemes""; ""3.6. Divisors""; ""3.7. Proj"" ""3.8. Condition ""X"" and cohomological dimension""""3.9. Higher inverse images""; ""3.10. Algebras which are strongly graded modulo a Serre subcategory""; ""3.11. The positive part of certain graded algebras""; ""3.12. Veronese subalgebras""; ""Chapter 4. Pseudo-compact rings""; ""Chapter 5. Cohen-Macaulay curves embedded in quasi-schemes""; ""5.1. Preliminaries""; ""5.2. Some computations""; ""5.3. Completion of objects in mod(X)""; ""5.4. Completion of bimodules""; ""5.5. The category C[sub(f,p)]""; ""5.6. Completion of algebras"" ""5.7. Multiplicities in the case that Ï? has infinite order""""Chapter 6. Blowing up a point on a commutative divisor""; ""6.1. Some ideals""; ""6.2. Some Rees algebras""; ""6.3. Definition of blowing up""; ""6.4. The normal bundle""; ""6.5. Birationality""; ""6.6. The exceptional curve""; ""6.7. The structure of the exceptional curve""; ""6.8. The strict transform""; ""6.9. A result on K[sub(0)] of some categories""; ""Chapter 7. Derived categories""; ""7.1. Generalities""; ""7.2. Admissible compositions of morphisms between quasi-schemes"" ""Chapter 8. The derived category of a non-commutative blowup""""8.1. The formalism of semi-orthogonal decompositions""; ""8.2. Generalities""; ""8.3. Computation of some derived functors""; ""8.4. The main theorem""; ""Chapter 9. Some results on graded algebras and their sections""; ""9.1. Generalities""; ""9.2. The case of a blowing up""; ""Chapter 10. Quantum plane geometry""; ""10.1. Multiplicities of some objects""; ""10.2. Classification of lines and conics""; ""Chapter 11. Blowing up n points in an elliptic quantum plane""; ""11.1. Derived categories"" ""11.2. Exceptional simple objects""""Chapter 12. Non-commutative cubic surfaces""; ""Appendix A. Two-categories""; ""Appendix B. Summary of notations""; ""Appendix C. Index of terminology""; ""Bibliography""
Record Nr.	UNINA-9910479980403321

Autore	Cuntz, Joachim
Pubbl/distr/stampa	Berlin : Springer, c2004
Descrizione fisica	x, 137 p. ; 24 cm
Altri autori (Persone)	Skandalis, Georgesauthor Tsygan, Borisauthor
Collana	Encyclopaedia of mathematical sciences, 0938-0396 ; 121. Operator algebras and non-commutative geometry ; 2
Soggetto topico	Homology theory Noncommutative differential geometry
ISBN	3540404694
Classificazione	AMS 58J20 AMS 16E40 AMS 19K56 LC QA613.3.C86
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNISALENTO-991000282749707536

Autore	Lott John <1959->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [1999]
Descrizione fisica	1 online resource (71 p.)
Disciplina	510 s 514/.42
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Diffeomorphisms Index theorems Noncommutative differential geometry
Soggetto genere / forma	Electronic books.
ISBN	1-4704-0264-5
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""1. Introduction""; ""2. Noncommutative Bundle Theory""; ""2.1. Noncommutative Differential Forms""; ""2.2. Noncommutative Connections and Chern Character""; ""2.3. Chernâ€?Simons Classes of Partially Flat Connections""; ""3. Groups and Covering Spaces""; ""3.1. Cyclic Cohomology of Group Algebras""; ""3.2. Noncommutative Geometry of Covering Spaces""; ""4. Bâ€?Hermitian Metrics and Characteristic Classes""; ""4.1. Bâ€?Hermitian Metrics""; ""4.2. Bâ€?Hermitian Metrics, Group Algebras and Assembly Maps""; ""5. Noncommutative Superconnections"" ""5.1. Partially Flat Superconnections""""5.2. A Finiteâ€?Dimensional Index Theorem""; ""5.3. The Analytic Torsion Form""; ""6. Fiber Bundles""; ""6.1. Bâ€?Pseudodifferential Calculus""; ""6.2. Induced Superconnections""; ""6.3. Small Time Limits""; ""6.4. Index Theorems""; ""6.5. The Analytic Torsion Form II""; ""7. Diffeomorphism Groups""; ""7.1. Free Abelian Fundamental Groups""; ""7.2. General Fundamental Groups""; ""References""
Record Nr.	UNINA-9910480229703321

Autore	Nazaĭkinskiĭ V. E
Edizione	[1st ed. 2008.]
Pubbl/distr/stampa	Basel, : Birkhäuser, 2008
Descrizione fisica	1 online resource (232 p.)
Disciplina	515.7242
Altri autori (Persone)	SavinAnton Yu SterninB. I͡U
Collana	Operator theory, advances and applicationsAdvances in partial differential equations
Soggetto topico	Elliptic operators Noncommutative differential geometry
Soggetto genere / forma	Electronic books.
ISBN	1-281-49124-1 9786611491246 3-7643-8775-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Analysis of Nonlocal Elliptic Operators -- Nonlocal Functions and Bundles -- Nonlocal Elliptic Operators -- Elliptic Operators over C-Algebras -- Homotopy Invariants of Nonlocal Elliptic Operators -- Homotopy Classification -- Analytic Invariants -- Bott Periodicity -- Direct Image and Index Formulas in K-Theory -- Chern Character -- Cohomological Index Formula -- Cohomological Formula for the ?-Index -- Index of Nonlocal Operators over C-Algebras -- Examples -- Index Formula on the Noncommutative Torus -- An Application of Higher Traces -- Index Formula for a Finite Group ?.
Record Nr.	UNINA-9910451298603321