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 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{…
math.AT2025
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 …