1210.0726 (Arthemy V. Kiselev)

The calculus of multivectors on noncommutative jet spaces    [PDF]

Arthemy V. Kiselev

We state and prove the main properties of the Schouten bracket on jet spaces in a class of noncommutative geometries. Our reasoning confirms that the traditional differential calculus does not appeal to the (graded-)commutativity assumption in the setup. We show that a chosen type of noncommutative differential calculus is essentially topological and renders an axiomatic noncommutative field theory model.

View original: http://arxiv.org/abs/1210.0726