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math.QA2026★ 1 cited
Deformation Quantization via Categorical Factorization Homology
Eilind Karlsson, Corina Keller, Lukas Müller +1
This paper develops an approach to categorical deformation quantization via factorization homology. We show that a quantization of the local coefficients for factorization homology…
math.QA2026★ 2 cited
Batalin-Vilkovisky structures on moduli spaces of flat connections
Anton Alekseev, Florian Naef, Ján Pulmann +1
Let be a compact oriented 2-manifold (possibly with boundary), and let be the linear span of free homotopy classes of closed oriented curves on equipped w…
math.QA2024
Graded Necklace Lie Bialgebras and Batalin-Vilkovisky Formalism
Nikolai Perry, Ján Pulmann
An involutive Lie bialgebra induces a Batalin-Vilkovisky operator on its exterior algebra. We introduce a graded generalization of the necklace Lie bialgebra, which depends on a ch…