Mauro Mantegazza

collaborators

3 papers

math.QA2025

Higher Order Connections in Noncommutative Geometry

Keegan J. Flood, Mauro Mantegazza, Henrik Winther

We prove that, in the setting of noncommutative differential geometry, a system of higher order connections is equivalent to a suitable generalization of the notion of phase space…

math.QA2025

Symbols in Noncommutative Geometry

Keegan J. Flood, Mauro Mantegazza, Henrik Winther

In this paper we prove that the classical Lie bracket of vector fields can be generalized to the noncommutative setting by antisymmetrizing (in a suitable noncommutative sense) the…

math.QA2025

Jet Functors in Noncommutative Geometry

Keegan J. Flood, Mauro Mantegazza, Henrik Winther

In this article we construct three infinite families of endofunctors $J_{d}^{(n)}$ , $J_{d}^{[n]}$ , and $J_{d}^{n}$ on the category of left $A$ -modules, where $A$ is a unital associative al…