Work

A genuine G‐spectrum for the cut‐and‐paste K‐theory of G‐manifolds

Year: 2026

Type: article

Abstract: Recent work has applied scissors congruence ‐theory to study classical cut‐and‐paste () invariants of manifolds. This paper proves the conjecture that the squares ‐theory of equivariant ‐manifolds arises as the fixed points of a genuine ‐spectrum. Our method utilizes the framework of spectral Mackey functors as models for genuine ‐spectra, and our main technical result is a general procedure for constructing spectral Mackey functors using squares ‐theory.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70352

Authors: Maxine E. Calle, David Chan

Institutions: University of Pennsylvania, Michigan State University

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: National Science Foundation