Geodesic
Bundles, cohomology and truncated symmetric polynomials
Documenta mathematica, Tome 15 (2010), pp. 1029-1047

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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 
Alejandro Adem; Zinovy Reichstein. Bundles, cohomology and truncated symmetric polynomials. Documenta mathematica, Tome 15 (2010), pp. 1029-1047. doi: 10.4171/dm/323
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     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/}
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