All Outputs (2)

Operations in connective K-theory (2023)
Journal Article
Vishik, A., & Merkurjev, A. (2023). Operations in connective K-theory. Algebra and Number Theory, 17(9), 1595–1636. https://doi.org/10.2140/ant.2023.17.1595

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 ˆZ case. Moreover, although integral additive operations are topologically... Read More about Operations in connective K-theory.

Torsion Motives (2023)
Journal Article
Vishik, A. (2023). Torsion Motives. International Mathematics Research Notices, 2023(23), 20252–20295. https://doi.org/10.1093/imrn/rnad056

In this paper we study Chow motives whose identity map is killed by a natural number. Examples of such objects were constructed by Gorchinskiy-Orlov [10]. We introduce various invariants of torsion motives, in particular, the p-level. We show that th... Read More about Torsion Motives.