Brace algebras and the cohomology comparison theorem

Details Brace algebras and the cohomology comparison theorem Brace algebras and the cohomology comparison theorem

2001-12-18

arxiv.org/abs/math/0112177v2

Mathematics

Quantum Algebra

Revised version of "The bar construction as a Hopf algebra", Dec. 2001

Scientific paper

The Gerstenhaber and Schack cohomology comparison theorem asserts that there is a cochain equivalence between the Hochschild complex of a certain algebra and the usual singular cochain complex of a space. We show that this comparison theorem preserves the brace algebra structures. This result gives a structural reason for the recent results establishing fine topological structures on the Hochschild cohomology, and a simple way to derive them from the corresponding properties of cochain complexes.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-44239