3 papers
math.SG2026
Concurring reduction schemes for Dirac structures
Dan Aguero, Alessandro Arsie, Pedro Frejlich +1
The notion of \emph{concurrence} was recently proposed as the natural compatibility relation between Dirac structures, generalizing the commutativity of two Poisson structures. We…
math.SG2025
On the geometry of complex Poisson bivectors
Dan Aguero
We study the geometry of complex Poisson bivectors over smooth manifolds. We show that under mild regularity conditions any complex Poisson bivector has associated a complex presym…
math.SG2025
On Complex Lie Algebroids with Constant Real Rank
Dan Aguero
We associate a real distribution to any complex Lie algebroid that we call distribution of real elements and a new invariant that we call real rank, given by the pointwise rank of…