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Gauss-Manin connections for arrangements, III Formal connections |
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| Authors: | Daniel C Cohen Peter Orlik |
| Institution: | Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803 ; Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706 |
| Abstract: | 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 connection matrices in the Aomoto complex and prove that, for all arrangements and all local systems, these formal connection matrices specialize to Gauss-Manin connection matrices. |
| Keywords: | Hyperplane arrangement local system Gauss-Manin connection |
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