138 citations · 514 across the 39 of their papers we have counts for
14 papers · 1 filter
Chen ranks and resonance
Daniel C. Cohen, Henry K. Schenck
The Chen groups of a group are the lower central series quotients of the maximal metabelian quotient of . Under certain conditions, we relate the ranks of the Chen groups to…
Vanishing products of one-forms and critical points of master functions
Daniel C. Cohen, Graham Denham, Michael Falk +1
Let \A be an affine hyperplane arrangement in $\C^\ell$ with complement . Let be linear polynomials defining the hyperplanes of \A, and the algebra of…
Critical points and resonance of hyperplane arrangements
D. Cohen, G. Denham, M. Falk +1
If F is a master function corresponding to a hyperplane arrangement A and a collection of weights y, we investigate the relationship between the critical set of F, the variety defi…
Stratified Morse Theory in Arrangements
Daniel C. Cohen, Peter Orlik
This paper is a survey of our work based on the stratified Morse theory of Goresky and MacPherson. First we discuss the Morse theory of Euclidean space stratified by an arrangement…
Gauss-Manin connections for arrangements, IV Nonresonant eigenvalues
Daniel C. Cohen, Peter Orlik
An arrangement is a finite set of hyperplanes in a finite dimensional complex affine space. A complex rank one local system on the arrangement complement is determined by a set of…
Gauss-Manin connections for arrangements, III Formal connections
Daniel C. Cohen, Peter Orlik
We study the Gauss-Manin connection for the moduli space of an arrangement of complex hyperplanes in the cohomology of a complex rank one local system. We define formal Gauss-Manin…