12 citations · 34 across the 7 of their papers we have counts for
7 papers
Fibrations in semi-toric and generalized complex geometry
Gil R. Cavalcanti, Ralph L. Klaasse, Aldo Witte
This paper studies the interplay between self-crossing boundary Lefschetz fibrations and generalized complex structures. We show that these fibrations arise from the moment maps in…
Self-crossing stable generalized complex structures
Gil R. Cavalcanti, Ralph L. Klaasse, Aldo Witte
We extend the notion of (smooth) stable generalized complex structures to allow for an anticanonical section with normal self-crossing singularities. This weakening not only allows…
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…
Classification of boundary Lefschetz fibrations over the disc
Stefan Behrens, Gil R. Cavalcanti, Ralph L. Klaasse
We show that a four-manifold admits a boundary Lefschetz fibration over the disc if and only if it is diffeomorphic to , $\# m\mathbb{…
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…