11 citations · 48 across the 11 of their papers we have counts for
12 papers
Operad of posets 101: The Wixárika posets
José Antonio Arciniega-Nevárez, Marko Berghoff, Eric Rubiel Dolores-Cuenca
We study classes of objects whose combinatorics are closely related to those of posets. The framework of operads and operad algebras allows us to make this relationship precise and…
Graph complexes from the geometric viewpoint
Marko Berghoff
These notes loosely follow an introductory course on graph complexes, held at Humboldt-Universität zu Berlin in summer 23. Instead of simply typing up my lecture notes I decided to…
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…
Schwinger, ltd: Loop-tree duality in the parametric representation
Marko Berghoff
We derive a variant of the loop-tree duality for Feynman integrals in the Schwinger parametric representation. This is achieved by decomposing the integration domain into a disjoin…
Virtual posets, shuffle algebras and associators
José A. Arciniega-Nevárez, Marko Berghoff, Eric Dolores-Cuenca
We provide a method to construct new associators out of Drinfel'd's KZ associator. We obtain two analytic families of associators whose coefficients we can describe explicitly by a…
An algebra over the operad of posets and structural binomial identities
Jose Antonio Arciniega-Nevarez, Marko Berghoff, Eric Dolores-Cuenca
We study generating functions of strict and non-strict order polynomials of series-parallel posets, called order series. These order series are closely related to Ehrhart series an…