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Títol:
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Homotopy Gerstenhaber structures and vertex algebras
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Autor/a:
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Gálvez Carrillo, Maria Immaculada; Gorbounov, V.; Tonks, Andrew
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Altres autors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
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Abstract:
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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 |
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Abstract:
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Peer Reviewed |
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Matèries:
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-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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Drets:
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Tipus de document:
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Article - Versió presentada
Article |
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