40 citations · 295 across the 45 of their papers we have counts for
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math.DG2016★ 4 cited
Manifolds of absolutely continuous curves and the square root velocity framework
Alexander Schmeding
A classical result in Riemannian geometry states that the absolutely continuous curves into a (finite-dimensional) Riemannian manifold form an infinite-dimensional manifold. In the…
math.RT2016★ 5 cited
Lie groups of controlled characters of combinatorial Hopf algebras
Rafael Dahmen, Alexander Schmeding
In this article groups of controlled characters of a combinatorial Hopf algebra are considered from the perspective of infinite-dimensional Lie theory. A character is controlled in…
math.GN2016★ 10 cited
Strong topologies for spaces of smooth maps with infinite-dimensional target
Eivind Otto Hjelle, Alexander Schmeding
In this article we study two "strong" topologies for spaces of smooth functions from a finite-dimensional manifold to a (possibly infinite-dimensional) manifold modeled on a locall…