21 citations · 34 across the 5 of their papers we have counts for
6 papers
Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets
Thierry De Pauw, Robert Hardt
The isoperimetric inequality for a smooth compact Riemannian manifold provides a positive , so that for any dimensional integral current in there ex…
Regulator Maps for Higher Chow Groups via Current Transforms
Pedro F. dos Santos, Robert M. Hardt, Paulo Lima-Filho
We show how to use equidimensional algebraic correspondences between complex algebraic varieties to construct pull-backs and transforms of certain classes of geometric currents. Us…
Defects of liquid crystals with variable degree of orientation
Onur Alper, Robert Hardt, Fang-Hua Lin
We prove that the zero set of a minimizer of the modified Ericksen energy for nematic liquid crystals with variable degree of orientation consists locally of isolated points and a…
A Multiple-Valued Plateau Problem
Quentin Funk, Robert Hardt
The existence of Dirichlet minimizing multiple-valued functions for given boundary data has been known since pioneering work of F. Almgren. Here we prove a multiple-valued analogue…
Sequential Weak Approximation for Maps of Finite Hessian Energy
Robert Hardt, Tristan Rivière
Consider the space of second order Sobolev mappings from a smooth domain to a compact Riemannian manifold whose Hessian energy $\int_Ω|\na…
Real Homotopy Theory of Semi-Algebraic Sets
Robert Hardt, Pascal Lambrechts, Victor Tourtchine +1
We complete the details of a theory outlined by Kontsevich and Soibelman that associates to a semi-algebraic set a certain graded commutative differential algebra of "semi-algebrai…