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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…
math.AT2024★ 1 cited
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…