Algebraic characteristic classes for idempotent matrices.

Gómez, Francisco. "Algebraic characteristic classes for idempotent matrices.." Publicacions Matemàtiques 36.2A (1992): 601-608. <http://eudml.org/doc/41737>.

@article{Gómez1992,
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.},
author = {Gómez, Francisco},
journal = {Publicacions Matemàtiques},
keywords = {Chern-Weil theory; characteristic classes; canonical line bundle; de Rham cohomology},
language = {eng},
number = {2A},
pages = {601-608},
title = {Algebraic characteristic classes for idempotent matrices.},
url = {http://eudml.org/doc/41737},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Gómez, Francisco
TI - Algebraic characteristic classes for idempotent matrices.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 601
EP - 608
AB - 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.
LA - eng
KW - Chern-Weil theory; characteristic classes; canonical line bundle; de Rham cohomology
UR - http://eudml.org/doc/41737
ER -