Home > Articles > Published articles > Algebraic characteristic classes for idempotent matrices |
Date: | 1992 |
Abstract: | This paper contains the algebraic analog for idempotent matrices of the Chern-Weil theory of characteristic classes. This is used to show, algebraically, that the canonical line bundle on the complex projective space is not stably trivial. Also a theorem is proved saying that for any smooth manifold there is a canonical epimorphism from the even dimensional algebraic de Rham cohomology of its algebra of smooth functions onto the standard even dimensional de Rham cohomology of the manifold. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Published in: | Publicacions matemàtiques, Vol. 36, Núm. 2 (1992) , p. 601-608, ISSN 2014-4350 |
8 p, 204.5 KB |