Gauss-Manin connections for arrangements, III Formal connections

Cohen, Daniel; Orlik, Peter

doi:10.1090/S0002-9947-04-03621-9

Gauss-Manin connections for arrangements, III Formal connections
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by Daniel C. Cohen and Peter Orlik PDF

Trans. Amer. Math. Soc. 357 (2005), 3031-3050 Request permission

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.

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