82 citations · 437 across the 28 of their papers we have counts for
28 papers
Tree-tubings and the combinatorics of resurgent Dyson-Schwinger equations
Michael Borinsky, Gerald V. Dunne, Karen Yeats
We give a novel combinatorial interpretation to the perturbative series solutions for a class of Dyson-Schwinger equations. We show how binary tubings of rooted trees with labels f…
On the Euler characteristic of the commutative graph complex and the top weight cohomology of
Michael Borinsky, Don Zagier
We prove an asymptotic formula for the Euler characteristic of Kontsevich's commutative graph complex. This formula implies that the total amount of commutative graph homology grow…
Tropical Feynman integration in the physical region
Michael Borinsky, Henrik J. Munch, Felix Tellander
The software feyntrop for direct numerical evaluation of Feynman integrals is presented. We focus on the underlying combinatorics and polytopal geometries facilitating these method…
Flow Oriented Perturbation Theory
Alexandre Salas-Bernárdez, Michael Borinsky, Zeno Capatti +1
Flow Oriented Perturbation Theory (FOPT) is a novel approach to Feynman diagrams based on the coordinate (position) space description of Quantum Field Theories (QFT). FOPT offers i…
Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group
Michael Borinsky, Benjamin Brück, Thomas Willwacher
We compute the weight 2 cohomology of the Feynman transforms of the cyclic (co)operads and , and the top weight cohomology of the Feynman transfor…
The -equivariant Euler characteristic of the moduli space of graphs
Michael Borinsky, Jos Vermaseren
We prove a formula for the -equivariant Euler characteristic of the moduli space of graphs . Moreover, we prove that the rational …