3 papers
cs.CG2026
Bifunction and Interlevel Delaunay Trifiltrations
Ãngel Javier Alonso, Michael Kerber, Tung Lam +2
A key property of the Delaunay filtration is that it is topologically (i.e., weakly) equivalent to the offset (union-of-balls) filtration. Recently, this filtration has been extend…
math.AC2026
Dualities in Multiparameter Persistence
Ulrich Bauer, Fabian Lenzen, Michael Lesnick
In the theory of persistent homology, a well known duality relates the barcodes of the absolute homology and relative cohomology of a one-parameter simplicial filtration. Motivated…
math.AT2026
Limit Computation Over Posets via Minimal Initial Functors
Tamal K. Dey, Michael Lesnick
It is well known that limits can be computed by restricting along an initial functor, and that this often simplifies limit computation. We systematically study the algorithmic impl…