The motivic cohomology ofBSOn

DOI10.1017/S0305004117000299zbMath1430.14052arXiv1704.04903MaRDI QIDQ4575310

Masana Harada, Masayuki Nakada

Publication date: 13 July 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04903

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Cohomology theory for linear algebraic groups (20G10) Motivic cohomology; motivic homotopy theory (14F42)

Cites Work

• Unnamed Item
• Unnamed Item
• The Chow ring of the symmetric space \(\mathrm{GL}(2n,\mathbb C)/\mathrm{SO}(2n,\mathbb C)\)
• The Chow ring of the classifying space \(\mathrm{BSO}(2n,\mathbb C)\)
• On the Chow rings of classifying spaces for classical groups
• An exact sequence for \(K^M_*/2\) with applications to quadratic forms
• The complex cobordism of \(BSO_n\)
• Oriented cohomology theories of algebraic varieties. II.
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• Reduced power operations in motivic cohomology
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Characteristic classes and quadric bundles
• Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups
• Gysin homomorphism in generalized cohomology theories
• Coniveau filtration of cohomology of groups
• The Complex Cobordism of BO _n
• Torsion algebraic cycles and complex cobordism
• 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
• \(\mathbb{A}^1\)-homotopy theory of schemes

This page was built for publication: The motivic cohomology ofBSO_n