36 citations · 153 across the 21 of their papers we have counts for
6 papers · 1 filter
Superorbits
Alexander Alldridge, Joachim Hilgert, Tilmann Wurzbacher
We study actions of Lie supergroups, in particular, the hitherto elusive notion of orbits through odd (or more general) points. Following categorical principles, we derive a concep…
Singular superspaces
Alexander Alldridge, Joachim Hilgert, Tilmann Wurzbacher
We introduce a wide category of superspaces, called locally finitely generated, which properly includes supermanifolds but enjoys much stronger permanence properties, as are prompt…
A convenient category of supermanifolds
Alexander Alldridge
With a view towards applications in the theory of infinite-dimensional representations of finite-dimensional Lie supergroups, we introduce a new category of supermanifolds. In this…
Integration on Non-Compact Supermanifolds
Alexander Alldridge, Joachim Hilgert, Wolfgang Palzer
We investigate the Berezin integral of non-compactly supported quantities. In the framework of supermanifolds with corners, we give a general, explicit and coordinate-free repesent…
Invariant Berezin integration on homogeneous supermanifolds
Alexander Alldridge, Joachim Hilgert
Let G be a Lie supergroup and H a closed subsupergroup. We study the unimodularity of the homogeneous supermanifold G/H, i.e. the existence of G-invariant sections of its Berezinia…
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…