Some torsion classes in the Chow ring and cohomology of BPGLn

DOI10.1112/jlms.12368zbMath1475.14009arXiv1901.10090OpenAlexW3103720969MaRDI QIDQ4991941

Xing Gu

Publication date: 4 June 2021

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10090

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) (Equivariant) Chow groups and rings; motives (14C15) Serre spectral sequences (55T10) Stacks and moduli problems (14D23)

Related Items (1)

The 𝑝-primary subgroups of the cohomology of 𝐵𝑃𝑈_{𝑛} in dimensions less than 2𝑝+5

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Chow ring of the classifying space \(\mathrm{BSO}(2n,\mathbb C)\)
• The Steenrod algebra and its dual
• On the Chow rings of classifying spaces for classical groups
• Fibre bundles and the Euler characteristic
• On the cohomology of the classifying spaces of PSU (4n+2) and PO (4n+2)
• \(\mathcal Q\)-subalgebras, Milnor basis, and cohomology of Eilenberg-MacLane spaces
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• Exponent and index of nonramified central simple algebras (with an appendix by Ofer Gabber).
• Reduced power operations in motivic cohomology
• The topological period-index conjecture for \(\mathrm{spin}^c\) 6-manifolds
• The period-index problem for twisted topological \(K\)-theory
• Steenrod operations on the Chow ring of a classifying space
• The topological period-index problem over 6-complexes
• Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups
• On the integral Tate conjecture for finite fields and representation theory
• Cohomology Operations (AM-50)
• Chern subrings
• The Chow rings of G 2 and Spin(7)
• Equivariant Chow rings of O(k), SO(2k+1), and SO(4)
• On the Chow ring of the classifying stack of PGL3,ℂ
• Applications of Atiyah–Hirzebruch spectral sequences for motivic cobordism
• Steenrod operations in Chow theory
• Chow rings and cobordism of some Chevalley groups
• The topological period-index problem over $8$-complexes, II
• Group Cohomology and Algebraic Cycles
• The topological period–index problem over 8‐complexes, I
• Representation theory and the cycle class map of a classifying space
• On the cohomology and the Chow ring of the classifying space of PGL p
• Appendix. Chern classes are not enough
• The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups 𝑃𝑈(𝑝) and exceptional Lie groups
• On the mod 𝑝 cohomology of 𝐵𝑃𝑈(𝑝)
• The Iteration of the Steenrod Squares in Algebraic Topology

This page was built for publication: Some torsion classes in the Chow ring and cohomology of BPGLn