On the numerical triviality of $BP$-cycles

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Alexander Vishik
DOI: 10.48550/arxiv.2601.07955
Cited by: 0

Abstract

We show that, in the case of a prime $2$, the numerical triviality of $BP$-cycles modulo various powers of the (augmentation) invariant ideal $I(\infty)$ is controlled by pure symbols in $K^M_*/2$ over the flexible closure of the base field.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Algebraic Geometry and Number Theory Advanced Algebra and Geometry

Publication details

Journal / source
arXiv (Cornell University)
Publication date
12 January 2026
Document type
Preprint