Reviews homotopies in geometric BV formalism and builds new examples from RG flow and gauge changes to produce spans of quantum master actions with isomorphic effective actions.
Noncommutative differential calculus, homotopy BV algebras and formality conjectures
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abstract
We define a notion of astrongly homotopy BV algebra and apply it to deformation theory problems. Formality conjectures for Hochschild and cyclic chains are formulated. We prove some partial results supporting these conjectures.
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math-ph 1years
2026 1verdicts
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Homotopies in Batalin-Vilkovisky Formalism
Reviews homotopies in geometric BV formalism and builds new examples from RG flow and gauge changes to produce spans of quantum master actions with isomorphic effective actions.