Wednesday, October 3, 2012

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.
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