Non-torsion non-algebraic classes in the Brown–Peterson tower

DOI10.1017/S0305004120000158zbMath1471.14013arXiv1709.00532OpenAlexW3112231582MaRDI QIDQ4958634

Masaki Kameko

Publication date: 14 September 2021

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

Full work available at URL: https://arxiv.org/abs/1709.00532

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) (Equivariant) Chow groups and rings; motives (14C15)

Cites Work

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• Analytic cycles on complex manifolds
• Examples of non-algebraic classes in the Brown-Peterson tower
• Torsion cohomology classes and algebraic cycles on complex projective manifolds
• Autour de la conjecture de Tate `a coefficients Z_l pour les vari'et'es sur les corps finis
• Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups
• On the integral Tate conjecture for finite fields and representation theory
• Torsion algebraic cycles and complex cobordism
• Applications of Atiyah–Hirzebruch spectral sequences for motivic cobordism
• On the integral Tate conjecture over finite fields
• Elements of Infinite Filtration in Complex Cobordism.