The MV formalism for \({\mathrm{IBL}}_\infty \)- and \({\mathrm{BV}}_\infty \)-algebras

DOI10.1007/s11005-017-0954-yzbMath1382.16007arXiv1511.01591OpenAlexW2592802575MaRDI QIDQ1676870

Alexander A. Voronov, Martin Markl

Publication date: 10 November 2017

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01591

zbMATH Keywords

master equationtransfer\(\mathrm{IBL}_\infty \)-algebra\(\mathrm{MV}\)-algebra

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items (max. 100)

Homological algebra related to surfaces with boundary ⋮ Calculus of multilinear differential operators, operator \(L_\infty\)-algebras and \(IBL_\infty\)-algebras

Cites Work

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• The Frobenius properad is Koszul
• Quantum open-closed homotopy algebra and string field theory
• On the origin of higher braces and higher-order derivations
• Algebras over \(\Omega(\text{co}\text \textbf{Frob})\)
• Quantum field theory techniques in graphical enumeration
• Homological algebra related to surfaces with boundary
• The BV formalism for \(L_\infty \)-algebras
• Algebras with one operation including Poisson and other Lie-admissible algebras
• Homotopy BV algebras in Poisson geometry
• Deformations and Obstructions of Pairs (X,D)
• Smoothness theorem for differential BV algebras
• Hodge theoretic aspects of mirror symmetry
• The role of string topology in symplectic field theory
• Strongly homotopy lie algebras

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