vix.ing · top · new · best · stats · spec

Configuration spaces of spatial linkages: Taking Collisions Into Account

2017/05/25 by David Blanc, Blanc, David, Nir Shvalb +1
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1705.09092

Abstract

We construct a completed version C(Gamma) of the configuration space of a linkage Gamma in R3 which takes into account the ways one link can touch another. We also describe a simplified version of C(Gamma) which is a blow-up of the space of immersions of Gamma in R3 A number of simple detailed examples are given.

Related