The diagonal of the Stasheff polytope

Details The diagonal of the Stasheff polytope The diagonal of the Stasheff polytope

2007-10-02

arxiv.org/abs/0710.0572v2

Mathematics

Algebraic Topology

Complete modification of the last part, that is the map p':AA-infinity -> A-infinity

Scientific paper

We construct an A-infinity structure on the tensor product of two A-infinity algebras by using the simplicial decomposition of the Stasheff polytope. The key point is the construction of an operad AA-infinity based on the simplicial Stasheff polytope. The operad AA-infinity admits a coassociative diagonal and the operad A-infinity is a retract by deformation of it. We compare these constructions with analogous constructions due to Saneblidze-Umble and Markl-Shnider based on the Boardman-Vogt cubical decomposition of the Stasheff polytope.

Affiliated with

Also associated with

No associations

Rating

The diagonal of the Stasheff polytope 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 The diagonal of the Stasheff polytope, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The diagonal of the Stasheff polytope will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-7693