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math.QA2023
Notes on affine W-algebras
Jethro van Ekeren
These are expanded and revised notes for a minicourse entitled "Affine W-algebras", which took place as part of the thematic month "Quantum Symmetries" at the Centre de Recherches…
math.QA2023
A Hodge filtration on chiral homology and Poisson homology of associated schemes
Jethro van Ekeren, Reimundo Heluani
We introduce filtrations in chiral homology complexes of smooth elliptic curves, exploiting the mixed Hodge structure on cohomology groups of configuration spaces. We use these to…
math.QA2023
A quantum field comonad
Jethro van Ekeren
We encapsulate the basic notions of the theory of vertex algebras into the construction of a comonad on an appropriate category of formal distributions. Vertex algebras are recover…