On the Chow rings of classifying spaces for classical groups

zbMath1112.14008arXivmath/0505560MaRDI QIDQ876747

Luis Alberto Molina Rojas, Angelo Vistoli

Publication date: 26 April 2007

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505560

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (22)

Subtle characteristic classes for \(Spin\)-torsors ⋮ On classifying spaces of spin groups ⋮ On the Chow ring of the classifying stack of algebraic tori ⋮ Cohomological invariants of genus three hyperelliptic curves ⋮ A complete description of the cohomological invariants of even genus hyperelliptic curves ⋮ The motivic cohomology ofBSO_n ⋮ PGL2-equivariant strata of point configurations in P1 ⋮ Envelopes and classifying spaces ⋮ The Chow ring of the classifying space \(\mathrm{BSO}(2n,\mathbb C)\) ⋮ Chow rings of nonabelian \(p\)-groups of order \(p^{3}\) ⋮ Torus-equivariant Chow rings of quiver moduli ⋮ Connective \(K\)-theory and Adams operations ⋮ The étale cohomology of the general linear group over a finite field and the Dickson algebra ⋮ The image of the map from group cohomology to Galois cohomology ⋮ On generic quadratic forms ⋮ The complex cobordism of \(BSO_n\) ⋮ The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups 𝑃𝑈(𝑝) and exceptional Lie groups ⋮ Some torsion classes in the Chow ring and cohomology of BPGLn ⋮ Stacks of trigonal curves ⋮ Moduli of genus one curves with two marked points as a weighted blow-up ⋮ The Chow ring of the classifying space of the unitary group ⋮ The integral Chow ring of , for odd

Cites Work

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• On the cohomology of the classifying spaces of PSU (4n+2) and PO (4n+2)
• Cohomology of classifying spaces of certain associative H-spaces
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• The image of cycle map of the classifying space of the exceptional group \(F_4\)
• Characteristic classes and quadric bundles
• Steenrod operations on the Chow ring of a classifying space
• Characteristic classes in the Chow ring
• Equivariant Chow rings of O(k), SO(2k+1), and SO(4)
• Examples for the mod 𝑝 motivic cohomology of classifying spaces
• On the Chow ring of the classifying stack of PGL3,ℂ
• Applications of Atiyah–Hirzebruch spectral sequences for motivic cobordism
• The Cohomology of BSO n and BO n with Integer Coefficients
• Chow rings and cobordism of some Chevalley groups
• The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups 𝑃𝑈(𝑝) and exceptional Lie groups

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