Work

The Picard group in equivariant homotopy theory via stable module categories

Year: 2025

Type: article

Abstract: We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible ‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category. As an application, we carry out a complete analysis of possible combinations of geometric fixed points of invertible ‐spectra in the case . A further application is given by showing that the Picard groups of and a category of derived Mackey functors agree.

Source: Journal of Topology

DOI: 10.1112/topo.70020

Author: Achim Krause

Institution: University of Oslo

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Deutsche Forschungsgemeinschaft