55 citations · 206 across the 33 of their papers we have counts for
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math.CV2007★ 1 cited
A Conformal de Rham Complex
Vladimir Gol'dshtein, Marc Troyanov
We introduce the notion of a conformal de Rham complex of a Riemannian manifold. This is a graded differential Banach algebra and it is invariant under quasiconformal maps, in part…
math.FA2007
On the Hodge decomposition in R^n
Marc Troyanov
We prove a version of the hodge decomposition for differential forms in Euclidean space and a generalization to the class of Lizorkin currents. We also compute the c…
math.DG2007★ 29 cited
On the Moduli Space of Singular Euclidean Surfaces
Marc Troyanov
The goal of this paper is to develop some aspects of the deformation theory of piecewise flat structures on surfaces and use this theory to construct new geometric structures on th…