M. Troyanov

most citedOn the Moduli Space of Singular Euclidean Surfaces

29 citations · 33 across the 6 of their papers we have counts for

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math.DG2008

On the $L_{q, p}$ -cohomology of Riemannian Manifolds with Negative Curvature

Vladimir Gol'dshtein, Marc Troyanov

We prove a non-vanishing result for the $L_{q, p}$ -cohomology of complete simply-connected Riemannian manifolds with pinched negative curvature.

math.DG2008★ 2 cited

Distortion of Mappings and $L_{q, p}$ -Cohomology

Vladimir Gol'dshtein, Marc Troyanov

We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the $L_{q, p}$ -cohomology of these manifolds. Some applications to vanishi…

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…

On the Lq,p​-cohomology of Riemannian Manifolds with Negative Curvature

Distortion of Mappings and Lq,p​-Cohomology

On the Moduli Space of Singular Euclidean Surfaces

On the $L_{q, p}$ -cohomology of Riemannian Manifolds with Negative Curvature

Distortion of Mappings and $L_{q, p}$ -Cohomology