Homotopy Gerstenhaber algebras

Details Homotopy Gerstenhaber algebras Homotopy Gerstenhaber algebras

1999-08-10

arxiv.org/abs/math/9908040v4

Conference Moshe Flato 1999 (G. Dito and D. Sternheimer, eds.), vol. 2. Kluwer Academic Publishers, the Netherlands, 2000, pp.

Mathematics

Quantum Algebra

21 pages, 7 figures. An error in the definition of filtration \bar{F}^p is corrected. See also http://www.math.umn.edu/~voro

Scientific paper

The purpose of this paper is to complete Getzler-Jones' proof of Deligne's Conjecture, thereby establishing an explicit relationship between the geometry of configurations of points in the plane and the Hochschild complex of an associative algebra. More concretely, it is shown that the B_infty-operad, which is generated by multilinear operations known to act on the Hochschild complex, is a quotient of a certain operad associated to the compactified configuration spaces. Different notions of homotopy Gerstenhaber algebras are discussed: one of them is a B_infty-algebra, another, called a homotopy G-algebra, is a particular case of a B_infty-algebra, the others, a G_infty-algebra, an E^1-bar-algebra, and a weak G_infty-algebra, arise from the geometry of configuration spaces. Corrections to the paper math.QA/9602009 of Kimura, Zuckerman, and the author related to the use of a nonextant notion of a homotopy Gerstenhaber algebra are made.

Affiliated with

Also associated with

No associations

Rating

Homotopy Gerstenhaber algebras 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 algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homotopy Gerstenhaber algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-201780