Papers

Oct
02
Properties of leveled spatial graphs

Properties of leveled spatial graphs

New preprint on leveled embeddings of spatial graphs By Senja Barthel and Fabio Buccoliero. Leveled spatial graphs are studied regarding
Sep
21
The relative cup-length in local Morse cohomology

The relative cup-length in local Morse cohomology

Published in "Topologial Methods in Nonlinear Analysis" Thomas Rot, Maciej Starostka, Nils Waterstraat The relative cup-length in local
2 min read
Sep
04
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions

Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions

Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot In this paper, we introduce the signed barcode, a new visual representation of
1 min read
Aug
07
Maximal Colourings for Graphs

Maximal Colourings for Graphs

Raffaella Mulas Coming, colours in the air Oh, everywhere She comes in colours —The Rolling Stones, She’s a Rainbow.
1 min read
Jul
31
Zoll magnetic systems on the two-torus: A Nash–Moser construction

Zoll magnetic systems on the two-torus: A Nash–Moser construction

Luca Asselle, Gabriele Benedetti, and Massimiliano Berti Abstract We construct an infinite-dimensional family of smooth integrable magnetic systems on the
2 min read
Jul
19
Priestley duality and representations of recurrent dynamics

Priestley duality and representations of recurrent dynamics

William Kalies and Robert Vandervorst For an arbitrary dynamical system there is a strong relationship between global dynamics and the
1 min read
Jun
28
Graded differential groups, Cartan-Eilenberg systems and conjectures in Conley index theory

Graded differential groups, Cartan-Eilenberg systems and conjectures in Conley index theory

Kelly Spendlove and Robert Vandervorst Cartan-Eilenberg systems play a prominent role in the homological algebra of filtered and graded differential
2 min read
Jun
21
On the bottleneck stability of rank decompositions of multi-parameter persistence modules

On the bottleneck stability of rank decompositions of multi-parameter persistence modules

Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot, Luis Scoccola A significant part of modern topological data analysis is concerned with
1 min read
Jun
16
Ropes have an even number of ends

Ropes have an even number of ends

Thomas Rot On 13-01-2024 the annual KWG Wintersymposium was held in the Academiegebouw in Utrecht. The symposium had the theme
1 min read
Jun
07
Constructing embedded surfaces for cellular embeddings of leveled spatial graphs

Constructing embedded surfaces for cellular embeddings of leveled spatial graphs

New preprint on cellular embeddings of spatial graphs By Senja Barthel and Fabio Buccoliero. Embeddings of graphs on surfaces are
1 min read