Artículo
Karoubi, M.; Suarez-Alvarez, M. "Twisted Kähler differential forms" (2003) Journal of Pure and Applied Algebra. 181(2-3):279-289
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Abstract:
In this paper we construct a twisted analog of the differential graded algebra of Kahler differential forms on a commutative algebra (provided by an endomorphism α). This construction generalizes the work done in (Contemp. Math. 279 (2001) 177-193) for topological purposes. The main feature of this twisted analog is a braiding which is the substitute of the commutativity in the classical situation, in which α is the identity. We show also that the one dimensional difference calculus is a particular case of our construction. © 2003 Elsevier Science B.V. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Twisted Kähler differential forms |
| Autor: | Karoubi, M.; Suarez-Alvarez, M. |
| Filiación: | Université Paris 7, UMR 7586, CNRS Topologie et Geometrie Algeb., 2 Place Jussieu CP 7012, 75251 Paris Cedex 05, France Departamento de Matemática, Fac. de Ciencias Exactas Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, Buenos Aires 1428, Argentina |
| Año: | 2003 |
| Volumen: | 181 |
| Número: | 2-3 |
| Página de inicio: | 279 |
| Página de fin: | 289 |
| DOI: | http://dx.doi.org/10.1016/S0022-4049(02)00302-X |
| Título revista: | Journal of Pure and Applied Algebra |
| Título revista abreviado: | J. Pure Appl. Algebra |
| ISSN: | 00224049 |
| CODEN: | JPAAA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v181_n2-3_p279_Karoubi |
Referencias:
- Connes, A., Non-commutative differential geometry (1985) Publ. Math. Inst. Hautes Étud. Sci., 62, pp. 41-144
- Karoubi, M., (1987) Homologie Cyclique Et K-théorie, Astérisque, 149. , Société Mathématique de France, Paris
- Karoubi, M., Braiding of differential forms and homotopy types (2000) C. R. Acad. Sci. Paris Sér. I, 331, pp. 757-762
- Karoubi, M., Quantum methods in algebraic topology (2001) Contemp. Math., 279, pp. 177-193
- Karoubi, M., Algebraic model of the affine line and difference calculus on a topological space (2002) C. R. Acad. Sci. Paris Sér., 335, pp. 121-126
Citas:
---------- APA ----------
Karoubi, M. & Suarez-Alvarez, M. (2003) . Twisted Kähler differential forms. Journal of Pure and Applied Algebra, 181(2-3), 279-289.http://dx.doi.org/10.1016/S0022-4049(02)00302-X
---------- CHICAGO ----------
Karoubi, M., Suarez-Alvarez, M. "Twisted Kähler differential forms" . Journal of Pure and Applied Algebra 181, no. 2-3 (2003) : 279-289.http://dx.doi.org/10.1016/S0022-4049(02)00302-X
---------- MLA ----------
Karoubi, M., Suarez-Alvarez, M. "Twisted Kähler differential forms" . Journal of Pure and Applied Algebra, vol. 181, no. 2-3, 2003, pp. 279-289.http://dx.doi.org/10.1016/S0022-4049(02)00302-X
---------- VANCOUVER ----------
Karoubi, M., Suarez-Alvarez, M. Twisted Kähler differential forms. J. Pure Appl. Algebra. 2003;181(2-3):279-289.http://dx.doi.org/10.1016/S0022-4049(02)00302-X
