# Algebraic characteristic classes for idempotent matrices.

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 2A, page 601-608
- ISSN: 0214-1493

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topGómez, 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 -

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