Document Type
Article
Publication Date
8-1-2005
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. © 2004 American Mathematical Society.
Publication Source (Journal or Book title)
Transactions of the American Mathematical Society
First Page
3031
Last Page
3050
Recommended Citation
Cohen, D., & Orlik, P. (2005). Gauss-manin connections for arrangements, III formal connections. Transactions of the American Mathematical Society, 357 (8), 3031-3050. https://doi.org/10.1090/S0002-9947-04-03621-9