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math.QA2025
Quartic BV structures in supercategories and modified necklace Lie bialgebras
Nikolai Perry
We introduce a modified version of the necklace Lie bialgebra associated to a quiver, in which the bracket and cobracket insert (rather than remove) pairs of arrows in involution.…
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…