Chamber basis of the Orlik-Solomon algebra and Aomoto complex

Details Chamber basis of the Orlik-Solomon algebra and Aomoto complex Chamber basis of the Orlik-Solomon algebra and Aomoto complex

2007-03-25

arxiv.org/abs/math/0703733v1

Mathematics

Geometric Topology

16 pages

Scientific paper

10.1007/s11512-008-0085-x

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.

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