3 papers
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…
math.RT2025
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…
cs.CG2024
Generating Cofaces in Vietoris--Rips Filtration Order
Ulrich Bauer, Jordan Matuszewski, Mikael Vejdemo-Johansson
Cofaces -- simplices that contain a given simplex -- have multiple important uses in generating and using a Vietoris-Rips filtration: both in creating the coboundary matrix for com…