Latest

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
Apr
14
An Observation About Conformal Points on Surfaces

An Observation About Conformal Points on Surfaces

Peter Albers and Gabriele Benedetti Abstract We study the existence of points on a compact oriented surface at which a
Mar
24
A geometric computation of cohomotopy groups in co-degree one

A geometric computation of cohomotopy groups in co-degree one

To appear in "Algebraic and Geometric Topology". By Michael Jung and Thomas Rot Using geometric arguments, we compute
1 min read
Mar
13
Construction of invariant features for time-domain EEG/MEG signals using Grassmann manifolds

Construction of invariant features for time-domain EEG/MEG signals using Grassmann manifolds

Rikkert Hindriks, Thomas O. Rot, Michel J.A.M. van Putten and Prejaas Tewarie A challenge in interpreting features derived
1 min read
Mar
13
Non-linear proper Fredholm maps and the stable homotopy groups of spheres

Non-linear proper Fredholm maps and the stable homotopy groups of spheres

Thomas O. Rot and Lauran Toussaint We classify non-linear proper Fredholm maps between Hilbert spaces, up to proper homotopy, in
1 min read
Mar
11
Computing p-presentation distances is hard

Computing p-presentation distances is hard

Håvard Bakke Bjerkevik, Magnus Bakke Botnan Recently, p-presentation distances for p∈[1,∞] were introduced for merge trees and multiparameter persistence
1 min read
Mar
07
Continuation sheaves in dynamics: Sheaf cohomology and bifurcation.

Continuation sheaves in dynamics: Sheaf cohomology and bifurcation.

By K.A. Dowling, W.D. Kalies and R.C.A.M. Vandervorst Algebraic structures such as the lattices of
1 min read
Feb
14
At the end of the spectrum: Chromatic bounds for the largest eigenvalue of the normalized Laplacian

At the end of the spectrum: Chromatic bounds for the largest eigenvalue of the normalized Laplacian

Lies Beers and Raffaella Mulas Abstract For a graph with largest normalized Laplacian eigenvalue \(\lambda_N\) and (vertex) coloring number
1 min read
Jan
01
There is no going back: Properties of the non-backtracking Laplacian

There is no going back: Properties of the non-backtracking Laplacian

Raffaella Mulas, Dong Zhang and Giulio Zucal Abstract We prove new properties of the non-backtracking graph and the non-backtracking Laplacian
1 min read
Dec
04
The Algebra of Semi-flows: A Tale of Two Topologies

The Algebra of Semi-flows: A Tale of Two Topologies

By K. Spendlove and R.C.A.M. Vandervorst To capture the global structure of a dynamical system we reformulate
1 min read