5 citations · 16 across the 13 of their papers we have counts for
16 papers
On the equivalence of the integrability obstructions for transitive Lie algebroids
Paolo Antonini, Alessio Giannotta
The integrability problem for transitive Lie algebroids can be looked at from different perspectives, revealing an interplay between cohomological methods and homotopical construct…
A proof of the Hamiltonian Thom Isotopy Lemma
Paolo Antonini, Fabio Cavalletti, Antonio Lerario
In this note we present a complete proof of the fact that all the submanifolds of a one parameter family of compact symplectic submanifolds inside a compact symplectic manifold are…
Optimal transport between algebraic hypersurfaces
Paolo Antonini, Fabio Cavalletti, Antonio Lerario
What is the optimal way to deform a projective hypersurface into another one? In this paper we will answer this question adopting the point of view of measure theory, introducing t…
A Note on Twisted Crossed Products and Spectral Triples
P. Antonini, D. Guido, T. Isola +1
Starting with a spectral triple on a unital -algebra with an action of a discrete group , if the action is uniformly bounded (in a Lipschitz sense) a spectral triple…
Geometry of Grassmannians and optimal transport of quantum states
Paolo Antonini, Fabio Cavalletti
Let be a separable Hilbert space. We prove that the Grassmannian of the finite dimensional subspaces of is an Alexandrov space…
Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras
Paolo Antonini, Alcides Buss, Alexander Engel +1
We strengthen a result of Hanke-Schick about the strong Novikov conjecture for low degree cohomology by showing that their non-vanishing result for the maximal group C*-algebra hol…