18 citations · 24 across the 5 of their papers we have counts for
10 papers · 1 filter
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…
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…
Triples of arrangements and local systems
Daniel C. Cohen
For a triple of complex hyperplane arrangements, there is a well-known long exact sequence relating the cohomology of the complements. We observe that this result extends to certai…
Gauss-Manin Connections for Arrangements
Daniel C. Cohen, Peter Orlik
We construct a formal connection on the Aomoto complex of an arrangement of hyperplanes, and use it to study the Gauss-Manin connection for the moduli space of the arrangement in t…