23 citations · 64 across the 21 of their papers we have counts for
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Toroidal prefactorization algebras associated to holomorphic fibrations and a relationship to vertex algebras
Matt Szczesny, Jackson Walters, Brian Williams
Let be a complex manifold, a locally trivial holomorphic fibration with fiber , and a Lie algebra with an invariant symmetric form. We as…
Twisted modules and co-invariants for commutative vertex algebras of jet schemes
Matthew Szczesny
Let be an affine scheme over $\C$ and $\J Z$ its jet scheme. It is well-known that $\mathbb{C}[\J Z]$, the coordinate ring of $\J Z$, has the structure of…
Representations of Quivers over F1
Matthew Szczesny
We define and study the category $\RepQ$ of representations of a quiver in $\VFun$ - the category of vector spaces "over $\Fun$". $\RepQ$ is an $\Fun$-linear category possessing ke…
Incidence Categories
Matt Szczesny
Given a family $\F$ of posets closed under disjoint unions and the operation of taking convex subposets, we construct a category $\C_{\F}$ called the \emph{incidence category of $\…
Colored trees and noncommutative symmetric functions
Matthew Szczesny
Let $\CRF_S$ denote the category of -colored rooted forests, and $\H_{\CRF_S}$ denote its Ringel-Hall algebra as introduced in \cite{KS}. We construct a homomorphism from a $K^+…
Rooted trees, Feynman graphs, and Hecke correspondences
Matthew Szczesny
We construct natural representations of the Connes-Kreimer Lie algebras on rooted trees/Feynman graphs arising from Hecke correspondences in the categories $\LRF, \LFG$ constructed…