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.References
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Additional Information
- Daniel C. Cohen
- Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
- MR Author ID: 290411
- ORCID: 0000-0002-5845-2523
- Email: cohen@math.lsu.edu
- Peter Orlik
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- Email: orlik@math.wisc.edu
- Received by editor(s): July 15, 2003
- Published electronically: July 16, 2004
- Additional Notes: The first author was partially supported by Louisiana Board of Regents grant LEQSF(1999-2002)-RD-A-01 and by National Security Agency grant MDA904-00-1-0038, and the second author was partially supported by National Security Agency grant MDA904-02-1-0019
- © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 357 (2005), 3031-3050
- MSC (2000): Primary 32S22, 14D05, 52C35, 55N25
- DOI: https://doi.org/10.1090/S0002-9947-04-03621-9
- MathSciNet review: 2135734