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

Published online by Cambridge University Press:  16 October 2020

MASAKI KAMEKO*
Affiliation:
Department of Mathematical Sciences, College of Systems Engineering and Science, Shibaura Institute of Technology, Saitama-City337-8570, Japan. e-mail: [email protected]

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.

Type
Research Article
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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