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.QA2023
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.DG2019
Construction of projective special Kähler manifolds
Mauro Mantegazza
In this paper we present an intrinsic characterisation of projective special Kähler manifolds in terms of a symmetric tensor satisfying certain differential and algebraic condition…