A proof of a cyclic version of Deligne's conjecture via Cacti

Details A proof of a cyclic version of Deligne's conjecture via Cacti A proof of a cyclic version of Deligne's conjecture via Cacti

2004-03-21

arxiv.org/abs/math/0403340v2

Mathematics

Quantum Algebra

20 pages, LaTex. New version with more expository text

Scientific paper

In this note, we show that the normalized Hochschild co--chains of an associative algebra with a non--degenerate, symmetric, invariant inner product are an algebra over a chain model of the framed little discs operad which is given by cacti. In particular, in this sense they are a BV algebra up to homotopy and the Hochschild cohomology of such an algebra is a BV algebra whose induced bracket coincides with Gerstenhaber's bracket. To show this, we use a cellular chain model for the framed little disc operad in terms of normalized cacti. This model is given by tensoring our chain model for the little discs operad in terms of spineless cacti with natural chain models for $(S^1)^{\times n}$ adapted to cacti.

Affiliated with

Also associated with

No associations

Rating

A proof of a cyclic version of Deligne's conjecture via Cacti 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 proof of a cyclic version of Deligne's conjecture via Cacti, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A proof of a cyclic version of Deligne's conjecture via Cacti will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-701652