12 citations · 34 across the 7 of their papers we have counts for
4 papers · 1 filter
Poisson structures of divisor-type
Ralph L. Klaasse
Poisson structures of divisor-type are those whose degeneracy can be captured by a divisor ideal, which is a locally principal ideal sheaf with nowhere-dense quotient support. This…
Obstructions for Symplectic Lie Algebroids
Ralph L. Klaasse
Several types of generically-nondegenerate Poisson structures can be effectively studied as symplectic structures on naturally associated Lie algebroids. Relevant examples of this…
Geometric structures and Lie algebroids
Ralph L. Klaasse
In this thesis we study geometric structures from Poisson and generalized complex geometry with mild singular behavior using Lie algebroids. The process of lifting such structures…
Fibrations and log-symplectic structures
Gil R. Cavalcanti, Ralph L. Klaasse
Log-symplectic structures are Poisson structures on for which vanishes transversally. By viewing them as symplectic forms in a Lie algebroid, the -t…