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Homotopy Gerstenhaber structures and vertex algebras
Gálvez Carrillo, Maria Immaculada; Gorbounov, V.; Tonks, Andrew
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
We provide a simple construction of a G∞-algebra structure on an important class of vertex algebras V, which lifts the Gerstenhaber algebra structure on BRST cohomology of V introduced by Lian and Zuckerman. We outline two applications to algebraic topology: the construction of a sheaf of G∞ algebras on a Calabi–Yau manifold M, extending the operations of multiplication and bracket of functions and vector fields on M, and of a Lie∞ structure related to the bracket of Courant
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica
Homotopy theory
Algebraic topology
BRST complex
Homotopy Gerstenhaber algebra
Vertex algebra
Chiral de Rham complex
Homotopia, Teoria de l'
Topologia algebraica
Classificació AMS::17 Nonassociative rings and algebras::17B Lie algebras and Lie superalgebras
Classificació AMS::55 Algebraic topology::55S Operations and obstructions
Classificació AMS::81 Quantum theory::81T Quantum field theory; related classical field theories

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