7 citations · 9 across the 6 of their papers we have counts for
6 papers
Families of proper holomorphic maps
Barbara Drinovec Drnovsek, Jure Kalisnik
Given a smooth, open, oriented surface endowed with a family of complex structures depending continuously on the parameter in a metrisable space , we…
Convolution bialgebra of a Lie groupoid and transversal distributions
J. Kalisnik, J. Mrcun
For a Lie groupoid G over a smooth manifold M we construct the adjoint action of the etale Lie groupoid G# of germs of local bisections of G on the Lie algebroid g of G. With this…
A Cartier-Gabriel-Kostant structure theorem for Hopf algebroids
J. Kalisnik, J. Mrcun
In this paper we give an extension of the Cartier-Gabriel-Kostant structure theorem to Hopf algebroids.
Groupoid representations and modules over the convolution algebras
Jure Kalisnik
The classical Serre-Swan's theorem defines a bijective correspondence between vector bundles and finitely generated projective modules over the algebra of continuous functions on s…
Representations of orbifold groupoids
Jure Kalisnik
Orbifold groupoids have been recently widely used to represent both effective and ineffective orbifolds. We show that every orbifold groupoid can be faithfully represented on a con…
Equivalence between the Morita categories of etale Lie groupoids and of locally grouplike Hopf algebroids
J. Kalisnik, J. Mrcun
Any etale Lie groupoid G is completely determined by its associated convolution algebra C_c(G) equipped with the natural Hopf algebroid structure. We extend this result to the gene…