Hypercommutative operad as a homotopy quotient of BV

DOI10.1007/s00220-013-1737-7zbMath1281.55011arXiv1206.3749OpenAlexW3105322622MaRDI QIDQ358804

Sergey Shadrin, A. S. Khoroshkin, Nikita Markarian

Publication date: 9 August 2013

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

Full work available at URL: https://arxiv.org/abs/1206.3749

zbMATH Keywords

Batalin-Vilkovsky operadGivental loop group actionHypercommutative operad

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Loop groups and related constructions, group-theoretic treatment (22E67) Quantization in field theory; cohomological methods (81T70) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Loop space machines and operads in algebraic topology (55P48)

Related Items

Generalized cohomological field theories in the higher order formalism, Massey products for algebras over operads, Givental action and trivialisation of circle action, Semisimple flat F-manifolds in higher genus, De Rham cohomology and homotopy Frobenius manifolds

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