Homotopy Gerstenhaber structure on deformation complex of a morphism

Details Homotopy Gerstenhaber structure on deformation complex of a morphism Homotopy Gerstenhaber structure on deformation complex of a morphism

2005-10-11

arxiv.org/abs/math/0510210v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

$G_\infty$-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.

Affiliated with

Also associated with

No associations

Rating

Homotopy Gerstenhaber structure on deformation complex of a morphism does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Homotopy Gerstenhaber structure on deformation complex of a morphism, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homotopy Gerstenhaber structure on deformation complex of a morphism will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-48999