Year: 2026
Type: preprint
Abstract: We explore the analogy between rational G-spectra for an r-torus G and sheaves over an r-dimensional scheme, in the context of the author's algebraic model for rational G-spectra. In particular, the resolution of the sphere of a virtual representation in the standard model corresponds precisely to the Cousin complex resolution of a line bundle. The tom Dieck splitting for the sphere of an actual respresentation corresponds to the collapse of the Cousin spectral sequence by degrees, and the the non collapse in other cases corresponds to familiar geometric behaviour.
Source: arXiv (Cornell University)
Author: Greenlees, J. P. C.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222931907