Algebraic characteristic classes for idempotent matrices

• Autores: Francisco Gómez Ruiz
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 1, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 601-608
• Idioma: inglés
• DOI: 10.5565/publmat_362a92_20
• Títulos paralelos:
  • Clases algebraicas características para matrices idempotentes
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• Resumen

  • 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.