arXiv Open Access 2020

Operations in connective K-theory

Alexander Merkurjev Alexander Vishik

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Abstrak

In this article we classify additive operations in connective K-theory with various torsion-free coefficients. We discover that the answer for the integral case requires understanding of the $\hat{\mathbb{Z}}$ one. Moreover, although integral additive operations are topologically generated by Adams operations, these are not reduced to infinite linear combinations of the latter ones. We describe a topological basis for stable operations and relate it to a basis of stable operations in graded K-theory. We classify multiplicative operations in both theories and show that homogeneous additive stable operations with $\hat{\mathbb{Z}}$-coefficients are topologically generated by stable multiplicative operations. This is not true for integral operations.

Topik & Kata Kunci

math.KT math.AG math.AT

Penulis (2)

Alexander Merkurjev

Alexander Vishik

Format Sitasi

APA MLA BibTeX

Merkurjev, A., Vishik, A. (2020). Operations in connective K-theory. https://arxiv.org/abs/2006.12193

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓