18 citations · 24 across the 5 of their papers we have counts for
14 papers
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…
Boundary manifolds of projective hypersurfaces
Daniel C. Cohen, Alexander I. Suciu
We study the topology of the boundary manifold of a regular neighborhood of a complex projective hypersurface. We show that, under certain Hodge theoretic conditions, the cohomolog…
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…
Resonant local systems on complements of discriminantal arrangements and sl_2 representations
Daniel C. Cohen, Alexander N. Varchenko
We calculate the skew-symmetric cohomology of the complement of a discriminantal hyperplane arrangement with coefficients in local systems arising in the context of the representat…
Gauss-Manin connections for arrangements, II Nonresonant weights
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 nonresonant complex rank one local system. Aomoto and Kita…
On representations and K-theory of the braid groups
Alejandro Adem, Daniel C. Cohen, Frederick R. Cohen
Let G be the fundamental group of the complement of a K(G,1) hyperplane arrangement (such as Artin's pure braid group) or more generally a homologically toroidal group (as defined…