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Homotopy Gerstenhaber structures and vertex algebras
dc.contributor.author | Gálvez Carrillo, Maria Immaculada |
dc.contributor.author | Gorbounov, V. |
dc.contributor.author | Tonks, Andrew |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2011-03-29T08:23:46Z |
dc.date.available | 2011-03-29T08:23:46Z |
dc.date.created | 2010 |
dc.date.issued | 2010 |
dc.identifier.citation | Gálvez, I.; Gorbounov, V.; Tonks, A. Homotopy Gerstenhaber structures and vertex algebras. "Applied categorical structures", 2010, vol. 18, núm. 1, p. 1-15. |
dc.identifier.issn | 0927-2852 |
dc.identifier.uri | http://hdl.handle.net/2117/12126 |
dc.description.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 |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica |
dc.subject.lcsh | Homotopy theory |
dc.subject.lcsh | Algebraic topology |
dc.subject.other | BRST complex |
dc.subject.other | Homotopy Gerstenhaber algebra |
dc.subject.other | Vertex algebra |
dc.subject.other | Chiral de Rham complex |
dc.title | Homotopy Gerstenhaber structures and vertex algebras |
dc.type | Article |
dc.subject.lemac | Homotopia, Teoria de l' |
dc.subject.lemac | Topologia algebraica |
dc.identifier.doi | 10.1007/s10485-008-9170-3 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::17 Nonassociative rings and algebras::17B Lie algebras and Lie superalgebras |
dc.subject.ams | Classificació AMS::55 Algebraic topology::55S Operations and obstructions |
dc.subject.ams | Classificació AMS::81 Quantum theory::81T Quantum field theory; related classical field theories |
dc.relation.publisherversion | http://www.springerlink.com/content/bn683577765784h7/fulltext.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 5419662 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Gálvez, I.; Gorbounov, V.; Tonks, A. |
local.citation.publicationName | Applied categorical structures |
local.citation.volume | 18 |
local.citation.number | 1 |
local.citation.startingPage | 1 |
local.citation.endingPage | 15 |
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