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

Abstract

Generalizing 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.

19 pages, Proposition 1.2 added

References in corpus (2)

• On the integral Tate conjecture for finite fields
• Examples of non-algebraic classes in the Brown-Peterson tower