Temporary page for Alejandro Cabrera (under construction)
Postdoctoral fellow at University of Toronto
University: Math Department – University of Toronto
40 St. George
Street
Toronto, Ontario, Canada M5S 2E4
Office: BA 6107
Phone/fax: 416 946 5440
Email address: acabrera AT math.toronto.edu
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.
Papers:
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).