Can I read About the Hochschild-Kostant-Rosenberg theorem for differentiable manifolds on EtoBox?

About the Hochschild-Kostant-Rosenberg theorem for differentiable manifolds by Pêgas, Luiz Henrique P. is a scholarly article available to read on EtoBox.

What is About the Hochschild-Kostant-Rosenberg theorem for differentiable manifolds about?

In this notes it will be provided a set of techniques which can help one to understand the proof of the Hochschild-Kostant-Rosenberg theorem for differentiable manifolds. Precise definitions of multidiferential operators and polyderivations on an algebra are given, allowing to work on these concepts, when the algebra is an algebra of functions on a differentiable manifold, in a coordinate free description. Also, it will be constructed a cup product on polyderivations which corresponds on (Hochschild) cohomology to wedge product on multivector fields. At the end, a proof of the above mentioned theorem will be given.

Author

Pêgas, Luiz Henrique P.

Published

2011

Language

EN