Daniel Lütgehetmann

Daniel Lütgehetmann
About me
Documents
Representation Stability for Configuration Spaces of Graphs
We consider for two based graphs G and H the sequence of graphs Gk given by the wedge sum of G and k copies of H. We show that the sequence of representations of the symmetric group given by the rational homology of the configuration space of these spaces is representation stable in the sense of Church and Farb. ( link )
The Homology of Configuration Spaces of Graphsjoint with Safia Chettih
We show that the homology of configuration spaces of finite graphs is torsion free. Furthermore, we give a concrete generating set for the homology of configuration spaces of finite trees. ( link )
Master's Thesis: Configuration Spaces of Graphs
We investigate the cohomology of configuration spaces of graphs and its behaviour when stabilizing the number of particles. ( pdf )
Bachelor's Thesis: The Lipschitz Distance on Outer Space
We give an overview on the Lipschitz distance on Outer Space. ( pdf )
Media
Cycles of the Homology of Configuration Spaces of Graphs
This is an animation of a basis of the integral homology of the configuration spaces of certain graphs. We calculated the homology with the help of CHomP and Sage.
Travel