A Note on Br-infinity and KS-infinity formality

Details A Note on Br-infinity and KS-infinity formality A Note on Br-infinity and KS-infinity formality

2011-09-16

arxiv.org/abs/1109.3520v1

Mathematics

Quantum Algebra

Scientific paper

We extend M. Kontsevich's formality morphism to a homotopy braces morphism and to a G-infinity morphism. We show that this morphism is homotopic to D. Tamarkin's formality morphism, obtained using formality of the little disks operad, if in the latter construction one uses the Alekseev-Torossian associator. Similar statements can also be shown in the "chains" case (i.e., on Hochschild homology instead of cohomology). This settles two well known questions in deformation quantization and unifies the several known graphical constructions of formality morphisms and homotopies by Kontsevich, Shoikhet, Calaque, Rossi, Alm, Cattaneo, Felder and the author.

Affiliated with

Also associated with

No associations

Rating

A Note on Br-infinity and KS-infinity formality 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 A Note on Br-infinity and KS-infinity formality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Note on Br-infinity and KS-infinity formality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-534399