Work

Chromatic cyclotomic extensions

Year: 2024

Type: article

Abstract: We construct Galois extensions of the T .n/-localsphere, lifting all finite abelian Galois extensions of the K.n/-local sphere.This is achieved by realizing them as higher semiadditive analogues of cyclotomic extensions.Combining this with a general form of Kummer theory, we lift certain elements from the K.n/-local Picard group to the T .n/-localPicard group.

Source: Geometry & Topology

DOI: 10.2140/gt.2024.28.3511

Authors: Shachar Carmeli, Tomer M Schlank, Lior Yanovski

Institutions: Weizmann Institute of Science, Hebrew University of Jerusalem, Max Planck Institute for Mathematics

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Johns Hopkins University

OpenAlex ID: W3133984989