Chamber basis of the Orlik-Solomon algebra and Aomoto complex
Geometric Topology
2009-11-13 v1 Combinatorics
Abstract
We introduce a basis of the Orlik-Solomon algebra labeled by chambers, so called chamber basis. We consider structure constants of the Orlik-Solomon algebra with respect to the chamber basis and prove that these structure constants recover D. Cohen's minimal complex from the Aomoto complex.
Keywords
Cite
@article{arxiv.math/0703733,
title = {Chamber basis of the Orlik-Solomon algebra and Aomoto complex},
author = {Masahiko Yoshinaga},
journal= {arXiv preprint arXiv:math/0703733},
year = {2009}
}
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16 pages