Workshop on Topology: Identifying Order in Complex Systems
Caging and Linking
For a planar domain, a finite point configuration is said to be caging, if the set of Euclidean motions of the domain not hitting the point configuration is bounded. Caging configurations are important in robotics and are a popular topic in computational geometry. We argue that caging is best understood in topological terms, manifesting itself as nontrivial linking of certain closed curves (in the group of motions of the Euclidean plane), which can be translated into effectively computable invariants of pairs of framed planar curves.
Date & Time
February 03, 2010 | 2:00pm – 3:00pm
Location
The Hill Center (Core 431), Rutgers, The State University of New JerseySpeakers
Yuliy Baryshnikov
Affiliation
Bell Laboratories