3 papers
math.RT2026
Hopfological algebra, revisited
Juan Omar Gómez, Gustavo Jasso, Marius Nielsen
We propose an -categorical approach to Khovanov--Qi's Hopfological algebra that, in particular, refines several foundational aspects of the theory by recasting the previous…
math.AT2026
The presentable stable envelope of an exact category
Marius Nielsen, Christoph Winges
We prove an analogue of the Gabriel--Quillen embedding theorem for exact -categories, giving rise to a presentable version of Klemenc's stable envelope of an exact …
math.AT2026
The formal spectrum of a tensor-triangulated category
Drew Heard, Marius Nielsen
To any essentially small tensor-triangulated category and Thomason subset we associate a ringed space $(\mathrm{Spf}(\mathcal{…