The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented

Details The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented

2006-10-03

arxiv.org/abs/math/0610126v2

Mathematics

Algebraic Topology

v2 New version now expanded to 27 pages. The irrationality question is now solved

Scientific paper

We present a theory that produces several examples where the homotopy Lie
algebra of a complex hyperplane arrangement is not finitely presented. We also
present examples of hyperplane arrangements where the enveloping algebra of
this Lie algebra has an irrational Hilbert series. This answers two questions
of Denham and Suciu.

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