A $k$-linear triangulated category without a model


In this paper we give an example of a triangulated category, linear over a field of characteristic zero, which does not carry a DG-enhancement. The only previous examples of triangulated categories without a model have been constructed by Muro, Schwede and Strickland. These examples are however not linear over a field.


Alice Rizzardo

University of Liverpool, Liverpool, United Kingdom

Michel Van den Bergh

Universiteit Hasselt, Hasselt, Belgium