Title:
|
Homotopy Gerstenhaber structures and vertex algebras
|
Author:
|
Gálvez Carrillo, Maria Immaculada; Gorbounov, V.; Tonks, Andrew
|
Other authors:
|
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
Abstract:
|
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 |
Abstract:
|
Peer Reviewed |
Subject(s):
|
-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 |
Rights:
|
|
Document type:
|
Article - Submitted version Article |
Share:
|
|