@article{RSMUP_2006__116__271_0, author = {Molina Rojas, Luis Alberto and Vistoli, Angelo}, title = {On the Chow rings of classifying spaces for classical groups}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {115}, year = {2006}, pages = {271-298}, mrnumber = {2287351}, zbl = {1112.14008}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_2006__116__271_0} }
Molina Rojas, Luis Alberto; Vistoli, Angelo. On the Chow rings of classifying spaces for classical groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 115 (2006) pp. 271-298. http://gdmltest.u-ga.fr/item/RSMUP_2006__116__271_0/
[Bro82] The cohomology of BSOn and BOn with integer coefficients, Proc. Amer. Math. Soc. 85, no. 2 (1982), pp. 283-288. | MR 652459 | Zbl 0509.55010
, jr.,[EG95] Characteristic classes and quadric bundles, Duke Math. J. 78, no. 2 (1995), pp. 277-299. | MR 1333501 | Zbl 0932.14003
and ,[EG97] Characteristic classes in the Chow ring, J. Algebraic Geom. 6, no. 3 (1997), pp. 431-443. | MR 1487222 | Zbl 0922.14003
and ,[EG98] Equivariant intersection theory, Invent. Math. 131, no. 3 (1998), pp. 595-634. | MR 1614555 | Zbl 0940.14003
and ,[Fes83] The integral cohomology rings of the classifying spaces of O(n) and SO(n), Indiana Univ. Math. J. 32, no. 4, (1983), pp. 511-516. | MR 703281 | Zbl 0507.55014
,[Fie04] The Chow ring of the classifying space BSO(2n; C), arXiv: math.AG/0411424, 2004.
,[Gir71] Cohomologie non abélienne, Springer-Verlag, Berlin, 1971, Die Grundlehren der mathematischen Wissenschaften, Band 179. | MR 344253 | Zbl 0226.14011
,[Gro58a] Sur quelques propriétés fondamentales en théorie des intersections, Exposé 4, Séminaire C. Chevalley, Anneaux de Chow et Applications, Secrétariat mathématique, Paris, 1958. | Numdam | MR 106907
,[Gro58b] Torsion homologique et sections rationelles, Exposé 5, Séminaire C. Chevalley, Anneaux de Chow et Applications, Secrétariat mathématique, Paris, 1958. | Numdam
,[Gui04a] Chow rings and cobordism of some Chevalley groups, Math. Proc. Cambridge Philos. Soc. 136, no. 3 (2004), pp. 625-642. | MR 2055051 | Zbl 1083.14008
,[Gui04b] The Chow rings of G2 and Spin7, arXiv: math.AG/0508122, 2004. | MR 2055051
,[Gui04c] Steenrod operations on the Chow ring of a classifying space, arXiv: math.AG/0403415, to appear in Adv. Math., 2004. | MR 2166309 | Zbl 1082.14010
,[KM75] On the cohomology of the classifying spaces of PSU(4n 2) and PO(4n 2), Publ. Res. Inst. Math. Sci. 10, no. 3 (1974/ 75), 691-720. | MR 372899 | Zbl 0315.55024
and ,[KMS75] Cohomology of classifying spaces of certain associative H-spaces, J. Math. Kyoto Univ. 15, no. 3 (1975), pp. 607-617. | MR 388426 | Zbl 0327.55022
, , and ,[KN05] The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups PU(p) and exceptional Lie groups, preprint, 2005. | MR 2373313
and ,[Pan98] Equivariant Chow rings of O(k); fSO(2k 1), and SO(4), J. Reine Angew. Math. 496 (1998), pp. 131-148. | MR 1605814 | Zbl 0905.14026
,[Tod87] Cohomology of classifying spaces, Homotopy theory and related topics (Kyoto, 1984), Adv. Stud. Pure Math., vol. 9, North-Holland, Amsterdam, 1987, pp. 75-108. | MR 896946 | Zbl 0641.55016
,[Tot99] The Chow ring of a classifying space, Algebraic K-theory (Seattle, WA, 1997), Amer. Math. Soc., Providence, RI, 1999, pp. 249-281. | MR 1743244 | Zbl 0967.14005
,[Vez00] On the Chow ring of the classifying stack of PGL3;C, J. Reine Angew. Math. 523 (2000), pp. 1-54. | MR 1762954 | Zbl 0967.14006
,[Vis05] On the Chow ring and the cohomology of the classifying space of PGLp, arXiv: math.AG/0505052, 2005.
,[VV03] On the mod p cohomology of BPU(p), arXiv: math.AT/0312441, 2003.
and ,[Yag02] Chow rings of classifying spaces of extraspecial p-groups, Recent progress in homotopy theory (Baltimore, MD, 2000), Contemp. Math., vol. 293, Amer. Math. Soc., Providence, RI, 2002, pp. 397-409. | MR 1890746 | Zbl 1031.55010
,[Yag03] Examples for the mod p motivic cohomology of classifying spaces, Trans. Amer. Math. Soc. 355 (2003), no. 11, 4427-4450 (electronic). | MR 1990757 | Zbl 1077.14027
,[Yag04] The image of cycle map of the classifying space of the exceptional group F4, J. Math. Kyoto Univ. 44, no. 1 (2004), pp. 181-191. | MR 2062713 | Zbl 1083.55005
,[Yag05] Applications of Atiyah-Hirzebruch spectral sequences for motivic cobordism, Proc. London Math. Soc. (3) 90, no. 3 (2005), pp. 783-816. | MR 2137831 | Zbl 1086.55005
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