3 papers
math.AT2026
Fast free resolutions of bifiltered chain complexes
Ulrich Bauer, Tamal K. Dey, Michael Kerber +2
In a -critical bifiltration, every simplex enters along a staircase with at most steps. Examples with include degree-Rips bifiltrations and models of the multicover bi…
math.RT2026
On the additive image of 0th persistent homology
Ulrich Bauer, Magnus Bakke Botnan, Steffen Oppermann +1
For a finite category and a finite field, we study the additive image of the functor $\operatorname{H}_0(-,F) \colon \operatorname{rep}(X, \mathbf{Top}) \to \operatorname{r…
math.GN2025
Inferring a Cell Structure on the Space of Cyclooctane Conformations
Ulrich Bauer, Fabian Lenzen
The conformation space of cyclooctane, a ringlike organic molecule comprising eight carbon atoms, is a two-dimensional algebraic variety, which has been studied extensively for mor…