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math.DG2026
Flows and Homotopies of Banach Lie algebroids
Fernand Pelletier, Alexander Schmeding
We establish flow and homotopy tools for Banach Lie algebroids that do not rely on compactly supported extensions. Under suitable hypotheses, we construct parameter-dependent local…
math.DG2024
The Stacey-Roberts Lemma for Banach Manifolds
Peter Kristel, Alexander Schmeding
The Stacey-Roberts lemma states that a surjective submersion between finite-dimensional manifolds gives rise to a submersion on infinite-dimensional manifolds of smooth mappings by…
math.DG2018
Lie groupoids of mappings taking values in a Lie groupoid
Habib Amiri, Helge Glockner, Alexander Schmeding
Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop g…