Homological residue fields as comodules over coalgebras
Category Theory
2023-10-03 v2 Algebraic Geometry
Algebraic Topology
Representation Theory
Abstract
We explicitly present homological residue fields for tensor triangulated categories as categories of comodules in a number of examples across algebra, geometry, and topology. Our results indicate that, despite their abstract nature, they are very natural objects and encode tangent data at the corresponding point on the spectrum.
Cite
@article{arxiv.2109.10827,
title = {Homological residue fields as comodules over coalgebras},
author = {James C. Cameron and Greg Stevenson},
journal= {arXiv preprint arXiv:2109.10827},
year = {2023}
}
Comments
11 pages, minor updates, to appear in the proceedings of the Abel Symposium 2022, Triangulated categories in representation theory and beyond