Homotopy Gerstenhaber structure on deformation complex of a morphism

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dc.creatorBorisov, Dennis V.
dc.date2005-10-11
dc.date.accessioned2026-07-07T06:47:20Z
dc.date.available2026-07-07T06:47:20Z
dc.description$G_\infty$-structure is shown to exist on the deformation complex of a morphism of associative algebras. The main step of the construction is extension of a $B_\infty$-algebra by an associative algebra. Actions of $B_\infty$-algebras on associative and $B_\infty$-algebras are analyzed, extensions of $B_\infty$-algebras by associative and $B_\infty$-algebras, that they act upon, are constructed. The resulting $G_\infty$-algebra on the deformation complex of a morphism is shown to be quasi-isomorphic to the $G_\infty$-algebra on deformation complex of the corresponding diagram algebra.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0510210
dc.identifierhttp://arxiv.org/abs/math/0510210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103619
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.titleHomotopy Gerstenhaber structure on deformation complex of a morphism
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