Poisson Geometry from a Dirac perspective

Abstract

We present proofs of classical results in Poisson geometry using techniques from Dirac geometry. This article is based on mini-courses at the Poisson summer school in Geneva, June 2016, and at the workshop "Quantum Groups and Gravity" at the University of Waterloo, April 2016.

42 pages. To appear in Letters in Mathematical Physics

References in corpus (2)

• Linear and multiplicative 2-forms
• Multiplicative Dirac structures on Lie groups

Cited by in corpus (6)

• On dual pairs in Dirac Geometry
• Basic notions of Poisson and symplectic geometry in local coordinates, with applications to Hamiltonian systems
• Deformation spaces and normal forms around transversals
• Dirac structures and Nijenhuis operators
• On the Definition of the Spin Charge in Asymptotically-Flat Spacetimes
• Integrability of quotients in Poisson and Dirac geometry