2 papers
math.GR2026
Vietoris-Rips complexes of affine Coxeter groups
Riley Decker, Matthew C. B. Zaremsky
We prove that all affine Coxeter groups admit contractible Vietoris-Rips complexes. More precisely, for any affine Coxeter group with standard generating set , we prove th…
math.AT2026
Counting Barcodes with the same Betti Curve
Henry Ashley, Håvard Bakke Bjerkevik, Justin Curry +2
This paper considers an important inverse problem in topological data analysis (TDA): How many different barcodes produce the same Betti curve? Equivalently, given a function $β\co…