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

Part of: Cycles and subschemes Fiber spaces and bundles

Published online by Cambridge University Press:  16 October 2020

MASAKI KAMEKO
MASAKI KAMEKO*
Affiliation:
Department of Mathematical Sciences, College of Systems Engineering and Science, Shibaura Institute of Technology, Saitama-City337-8570, Japan. e-mail: kameko@shibaura-it.ac.jp
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Abstract

Generalising the classical work of Atiyah and Hirzebruch on non-algebraic classes, recently Quick proved the existence of torsion non-algebraic elements in the Brown–Peterson tower. We construct non-torsion non-algebraic elements in the Brown–Peterson tower for the prime number 2.

MSC classification

Primary: 14C15: (Equivariant) Chow groups and rings; motives
Secondary: 14C25: Algebraic cycles 55R35: Classifying spaces of groups and $H$-spaces 55R40: Homology of classifying spaces, characteristic classes
Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 171 , Issue 1 , July 2021 , pp. 113 - 132
Copyright
© Cambridge Philosophical Society 2020

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Footnotes

†

This work was supported by JSPS KAKENHI Grant Numbers JP25400097 and JP17K05263.

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