7 citations · 14 across the 5 of their papers we have counts for
5 papers
Holomorphic current groups -- Structure and Orbits
Martin Laubinger, Friedrich Wagemann
Let K be a finite-dimensional, 1-connected complex Lie group, and let Σ_k=Σ- {p_1,\ldots,p_k\} be a compact connected Riemann surface Σ, from which we have extracted k > 0 distinct…
Harmonic analysis on Heisenberg--Clifford Lie supergroups
Alexander Alldridge, Joachim Hilgert, Martin Laubinger
We define a Fourier transform and a convolution product for functions and distributions on Heisenberg--Clifford Lie supergroups. The Fourier transform exchanges the convolution and…
Infinite-dimensional supermanifolds over arbitrary base fields
Alexander Alldridge, Martin Laubinger
In his recent investigation of a super Teichmüller space, Sachse (2007), based on work of Molotkov (1984), has proposed a theory of Banach supermanifolds using the `functor of poin…
A Lie algebra for Frölicher groups
Martin Laubinger
Frölicher spaces form a cartesian closed category which contains the category of smooth manifolds as a full subcategory. Therefore, mapping groups such as C^\infty(M,G) or \Diff(M)…
Complex Structures on Principal Bundles
Martin Laubinger
Holomorphic principal G-bundles over a complex manifold M can be studied using non-abelian cohomology groups H^1(M,G). On the other hand, if M=Σis a closed Riemann surface, there i…