80 citations · 215 across the 15 of their papers we have counts for
16 papers
Higher symmetries in abstract stable homotopy theories
Moritz Groth, Moritz Rahn
This survey offers an overview of an on-going project on uniform symmetries in abstract stable homotopy theories. This project has calculational, foundational, and representation-t…
Abstract cubical homotopy theory
Falk Beckert, Moritz Groth
Triangulations and higher triangulations axiomatize the calculus of derived cokernels when applied to strings of composable morphisms. While there are no cubical versions of (highe…
Generalized stability for abstract homotopy theories
Moritz Groth, Mike Shulman
We show that a derivator is stable if and only if homotopy finite limits and homotopy finite colimits commute, if and only if homotopy finite limit functors have right adjoints, an…
Characterizations of abstract stable homotopy theories
Moritz Groth
In this paper we establish new characterizations of stable derivators, thereby obtaining additional interpretations of the passage from (pointed) topological spaces to spectra and,…
Revisiting the canonicity of canonical triangulations
Moritz Groth
Stable derivators provide an enhancement of triangulated categories as is indicated by the existence of canonical triangulations. In this paper we show that exact morphisms of stab…
Abstract tilting theory for quivers and related categories
Moritz Groth, Jan Stovicek
We generalize the construction of reflection functors from classical representation theory of quivers to arbitrary small categories with freely attached sinks or sources. These ref…