Aug
20
Lecture notes on Algebraic Topology
CTA\(^2\) members Renee Hoekzema and Thomas Rot wrote lecture notes for the course "algebraic topology II" in
Latest
Jul
01
Linking number of grid models
New preprint on random links by Senja Barthel and Yuka Kotorii.
We study the linking numbers of random links within
1 min read
Jun
12
The Hopf-Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensionl spheres
Peter Albers, Gabriele Benedetti, and Levin Maier
Abstract
The subject of this article are magnetic geodesics on odd-dimensional spheres endowed
1 min read
Jun
01
Symplectic capacities of domains close to the ball and Banach-Mazur geodesics in the space of contact forms
Alberto Abbondandolo, Gabriele Benedetti, and Oliver Edtmair
We prove that all normalized symplectic capacities coincide on smooth domains in Cn
1 min read
Apr
04
On the additive image of 0th persistent homology
General audience intro:
Persistent homology in multiple parameters takes a topological space filtered in multiple ways as input and produces
3 min read
Jan
12
Scissors congruence K-theory for equivariant manifolds
Mona Merling, Ming Ng, Julia Semikina, Alba Sendón Blanco, Lucas Williams
Imagine that you are given a manifold, a pair
1 min read
Dec
03
Understanding mobile particles in solid-state materials
A perspective published in Chemistry of Materials by Fabian Schwarz, Senja Barthel, and Amber Mace.
Open access DOI:10.1021/
1 min read
Nov
28
Spectra of complex unit hypergraphs
Raffaella Mulas and Nathan Reff
Abstract
A complex unit hypergraph is a hypergraph where each vertex-edge incidence is given a
1 min read
Oct
12
Vanishing cycles of symplectic foliations
Fabio Gironella, Klaus Niederkrüger, Lauran Toussaint
Recent years have shown that the usual generalizations of taut foliations to higher dimensions,
1 min read
Oct
02
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