11 citations · 48 across the 11 of their papers we have counts for
4 papers · 1 filter
Hierarchies in relative Picard-Lefschetz theory
Marko Berghoff, Erik Panzer
We prove a relative version of the Picard-Lefschetz theorem, describing the variation of relative homology groups in the fibers of a smoot…
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…
Feynman amplitudes on moduli spaces of graphs
Marko Berghoff
This article introduces moduli spaces of coloured graphs on which Feynman amplitudes can be viewed as 'discrete' volume densities. The basic idea behind this construction is that t…
Wonderful Compactifications in Quantum Field Theory
Marko Berghoff
This article reviews the use of DeConcini-Procesi wonderful models in renormalization of ultraviolet divergences in position space as introduced by Bergbauer, Brunetti and Kreimer.…