138 citations · 514 across the 39 of their papers we have counts for
42 papers
Monodromy of supersolvable toric arrangements
Christin Bibby, Daniel C. Cohen, Emanuele Delucchi
We study topological aspects of supersolvable abelian arrangements, toric arrangements in particular. The complement of such an arrangement sits atop a tower of fiber bundles, and…
On the higher topological complexity of manifolds with abelian fundamental group
N. Cadavid-Aguilar, D. Cohen, J. González +2
We study the higher (or sequential) topological complexity of manifolds with abelian fundamental group. We give sufficient conditions for to be non-…
On the topological complexity of manifolds with abelian fundamental group
Daniel C. Cohen, Lucile Vandembroucq
We find conditions which ensure that the topological complexity of a closed manifold with abelian fundamental group is nonmaximal, and see through examples that our conditions…
Parametrized topological complexity of collision-free motion planning in the plane
Daniel C. Cohen, Michael Farber, Shmuel Weinberger
Parametrized motion planning algorithms have high degrees of universality and flexibility, as they are designed to work under a variety of external conditions, which are viewed as…
Topology of parametrised motion planning algorithms
Daniel C. Cohen, Michael Farber, Shmuel Weinberger
In this paper we introduce and study a new concept of parametrised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the para…
On graphic arrangement groups
Daniel C Cohen, Michael J Falk
A finite simple graph determines a quotient of the pure braid group, called a graphic arrangement group. We analyze homomorphisms of these groups defined by deletion of s…