Homotopy Inner Products for Cyclic Operads

Details Homotopy Inner Products for Cyclic Operads Homotopy Inner Products for Cyclic Operads

2008-09-14

arxiv.org/abs/0809.2380v1

Mathematics

Algebraic Topology

To be published in JHRS

Scientific paper

We introduce the notion of homotopy inner products for any cyclic quadratic Koszul operad $\mathcal O$, generalizing the construction already known for the associative operad. This is done by defining a colored operad $\widehat{\mathcal O}$, which describes modules over $\mathcal O$ with invariant inner products. We show that $\widehat{\mathcal O}$ satisfies Koszulness and identify algebras over a resolution of $\widehat{\mathcal O}$ in terms of derivations and module maps. As an application we construct a homotopy inner product over the commutative operad on the cochains of any Poincar\'e duality space.

Affiliated with

Also associated with

No associations

Rating

Homotopy Inner Products for Cyclic Operads 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 Inner Products for Cyclic Operads, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homotopy Inner Products for Cyclic Operads will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-156139