Showing math.KTShow all
2 papers · 1 filter
math.KT2025
Multiplicity in triangulated categories
Petter Andreas Bergh, David A. Jorgensen, Peder Thompson
We lay out the theory of a multiplicity in the setting of a triangulated category having a central ring action from a graded-commutative ring , in other words, an -linear tri…
math.KT2024
Asymptotic vanishing of cohomology in triangulated categories
Petter Andreas Bergh, David A. Jorgensen, Peder Thompson
Given a graded-commutative ring acting centrally on a triangulated category, our main result shows that if cohomology of a pair of objects of the triangulated category is finitely…