Inspired by the work of P. Bubenik et al., we define exact weights on objects in a triangulated category. In particular, we extend the concept of path metrics for abelian categories to triangulated categories and discuss some of their properties. We are particularly interested in triangulated categories induced by Frobenius categories.
This is a joint-work (in progress) with P. Bubenik.
This video was part of the Maurice Auslander International Conference.
