Temporary page for Alejandro Cabrera (under construction)
Postdoctoral fellow at University of Toronto
Research: My research focuses on areas lying in the intersection between differential geometry and mathematical
physics. My topics of research include (super) symplectic and Poisson geometry, Lie algebroids and Lie groupoids,
as well as their many applications to (quantum) field theories, integrable systems and geometrical mechanics.
Multiplicative forms at the infinitesimal level, with H. Bursztyn, submitted (arxiv)
Linear and multiplicative 2-Forms, with H. Bursztyn and C. Ortiz, L. To appear in Lett. Math. Phys. (arxiv)
Poisson-Lie T-Duality and non trivial monodromies, with H. Montani, M. Zuccalli, J. Geom. Phys. 59 (2009) 576-599(arxiv).
Some geometric features of Berry’s phase, preprint (arxiv - 2007).
Base-controlled mechanical systems and geometric phases, J. Geom.Phys. 58 (2008) 334-367 (arxiv).
A Generalized Montgomery Phase Formula for Rotating Self Deforming Bodies, J.Geom.Phys. 57 (2007), 1405-1420 (arxiv).
Hamiltonian Loop group actions and T-duality for group manifolds, with H. Montani J. Geom. Phys. 56 (2006), 1116-1143 (arxiv).