3 papers
math.AT2020
On the homology of independence complexes
Marko Berghoff
The independence complex of a graph is the simplicial complex formed by its independent sets. This article introduces a deformation of the simplicial boundary…
math-ph2019
Complexes of marked graphs in gauge theory
Marko Berghoff, Andre Knispel
We review the gauge and ghost cyle graph complexes as defined by Kreimer, Sars and van Suijlekom in "Quantization of gauge fields, graph polynomials and graph homology" and compute…
math.AT2018
Moduli spaces of colored graphs
Marko Berghoff, Max Mühlbauer
We introduce moduli spaces of colored graphs, defined as spaces of non-degenerate metrics on certain families of edge-colored graphs. Apart from fixing the rank and number of legs…