Higher limits over the fusion orbit category via centralizers of amalgams
Algebraic Topology
2024-11-05 v1
Abstract
We study the D\'iaz-Park sharpness conjecture for fusion systems and prove that, under certain circumstances, there exists a 4 terms exact sequence relating the first two higher limits of the contravariant part of a Mackey functor over certain fusion systems. We show how this result can be applied to the family of Benson-Solomon fusion systems thus providing another approach to studying the sharpness for this family of fusion systems.
Keywords
Cite
@article{arxiv.2411.01352,
title = {Higher limits over the fusion orbit category via centralizers of amalgams},
author = {Marco Praderio Bova},
journal= {arXiv preprint arXiv:2411.01352},
year = {2024}
}