2 citations · 3 across the 3 of their papers we have counts for
6 papers
Contrôle des bras articulés et transformations de Moebius (Control of robot arms and Moebius transformations)
Jean-Claude Hausmann
For a m-tuple a=(a_1,...,a_m) of positive real numbers, the robot arm of type a in R^d is the map f^a:(S^{d-1})^m -> R^d defined by f^a(z_1,...,z_m) to be the sum of the a_jz_j's.…
The space of clouds in an Euclidean space
Jean-Claude Hausmann, Eugenio Rodriguez
We study the space $\nua{m}{d}$ of clouds in $\bbr^d$ (ordered sets of points modulo the action of the group of affine isometries). We show that $\nua{m}{d}$ is a smooth space,…
Maximal Hamiltonian tori for polygon spaces
Jean-Claude Hausmann, Susan Tolman
We study the poset of Hamiltonian tori for polygon spaces. We determine some maximal elements and give examples where maximal Hamiltonian tori are not all of the same dimension.
Théorie de jauge et groupo\"ıdes (Gauge theory and groupoids)
Jean-Claude Hausmann
We consider the problem of existence of representations of topological groupoids on a principal bundle and the classification of such representations up to gauge transformation. Su…
A limit of toric symplectic forms that has no periodic Hamiltonians
Jean-Claude Hausmann, Allen Knutson
We calculate the Riemann-Roch number of some of the pentagon spaces defined in [Klyachko,Kapovich-Millson,HK1]. Using this, we show that while the regular pentagon space is diffeom…
The cohomology ring of symplectic cuts
Jean-Claude Hausmann, Allen Knutson
The ``symplectic cut'' construction [Lerman] produces two symplectic orbifolds and from a symplectic manifold with a Hamiltonian circle action. We compute the ratio…