Geodesic
Bundles, cohomology and truncated symmetric polynomials
Documenta mathematica, Tome 15 (2010), pp. 1029-1047
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

The cohomology of the classifying space BU(n) of the unitary group can be identified with the the ring of symmetric polynomials on n variables by restricting to the cohomology of BT, where T⊂U(n) is a maximal torus. In this paper we explore the situation where BT=( CP∞)n is replaced by a product of finite dimensional projective spaces ( CPd)n, fitting into an associated bundle
DOI : 10.4171/dm/323
Classification : 05E05, 55R35
Mots-clés : classifying space, cohomology, bundle, symmetric polynomial, regular sequence 
@article{10_4171_dm_323,
     author = {Alejandro Adem and Zinovy Reichstein},
     title = {Bundles, cohomology and truncated symmetric polynomials},
     journal = {Documenta mathematica},
     pages = {1029--1047},
     year = {2010},
     volume = {15},
     doi = {10.4171/dm/323},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/323/}
}
TY  - JOUR
AU  - Alejandro Adem
AU  - Zinovy Reichstein
TI  - Bundles, cohomology and truncated symmetric polynomials
JO  - Documenta mathematica
PY  - 2010
SP  - 1029
EP  - 1047
VL  - 15
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/323/
DO  - 10.4171/dm/323
ID  - 10_4171_dm_323
ER  - 
%0 Journal Article
%A Alejandro Adem
%A Zinovy Reichstein
%T Bundles, cohomology and truncated symmetric polynomials
%J Documenta mathematica
%D 2010
%P 1029-1047
%V 15
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/323/
%R 10.4171/dm/323
%F 10_4171_dm_323
Alejandro Adem; Zinovy Reichstein. Bundles, cohomology and truncated symmetric polynomials. Documenta mathematica, Tome 15 (2010), pp. 1029-1047. doi: 10.4171/dm/323

Cité par Sources :