138 citations · 514 across the 39 of their papers we have counts for
6 papers · 1 filter
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…
Discriminantal bundles, arrangement groups, and subdirect products of free groups
Daniel C. Cohen, Michael J. Falk, Richard C. Randell
We construct bundles $E_k(\A,\F) \to M$ over the complement of a complex hyperplane arrangement \A, depending on an integer and a set $\F=\{f_1, \ldots, f_μ\}$ of co…
Motion planning in tori
Daniel C. Cohen, Goderdzi Pruidze
Let X be a subcomplex of the standard CW-decomposition of the n-dimensional torus. We exhibit an explicit optimal motion planning algorithm for X. This construction is used to calc…
The boundary manifold of a complex line arrangement
Daniel C Cohen, Alexander I Suciu
We study the topology of the boundary manifold of a line arrangement in CP^2, with emphasis on the fundamental group G and associated invariants. We determine the Alexander polynom…
Torsion in Milnor fiber homology
Daniel C. Cohen, Graham Denham, Alexander I. Suciu
In a recent paper, Dimca and Nemethi pose the problem of finding a homogeneous polynomial f such that the homology of the complement of the hypersurface defined by f is torsion-fre…
Monodromy of fiber-type arrangements and orbit configuration spaces
Daniel C. Cohen
We prove similar theorems concerning the structure of bundles involving complements of fiber-type hyperplane arrangements and orbit configuration spaces. These results facilitate a…