4 papers
Topology of singular foliations of closed 1-forms on orbifolds
Daniel Lopez Garcia, Fabricio Valencia
We study the topological properties of the leaves of the singular foliation induced by a closed 1-form of Morse type on a compact orbifold. In particular, we establish criteria tha…
Hamiltonian actions on 0-shifted cosymplectic groupoids
Daniel López Garcia, Fabricio Valencia
We introduce the notion of 0-shifted cosymplectic structure on differentiable stacks and develop a corresponding moment map theory for Hamiltonian cosymplectic actions. We present…
Double extension of flat pseudo-Riemannian -Lie algebras
Alexander Torres-Gomez, Fabricio Valencia
We define the concept of a flat pseudo-Riemannian -Lie algebra and construct its corresponding double extension. This algebraic structure can be interpreted as the infinitesimal…
On the monodromy action for
Daniel López Garcia, Fabricio Valencia
We solve the problem of determining under which conditions the monodromy of a vanishing cycle generates the whole homology of a regular fiber for a polynomial wh…