3 papers
math.GR2026
An inductive approach to the Diaz-Park sharpness conjecture
Marco Praderio Bova
We develop tools which use common fusion systems building techniques in order to compute higher limits over the centric orbit category. We apply these tools in order to study both…
math.AT2026
Computing higher limits over the fusion orbit category via amalgams
Marco Praderio Bova
We study higher limits over the centric orbit category of a fusion system realized by an amalgamated product. In so doing we provide a novel technique for studying the Diaz-Park sh…
math.AT2024
Higher limits over the fusion orbit category via centralizers of amalgams
Marco Praderio Bova
We study the Díaz-Park sharpness conjecture for fusion systems and prove that, under certain circumstances, there exists a 4 terms exact sequence relating the first two higher limi…