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arxiv: math/0612404 · v2 · submitted 2006-12-14 · 🧮 math.AT · math.GR· math.GT

The l²-cohomology of hyperplane complements

classification 🧮 math.AT math.GRmath.GT
keywords bettinumbersaffinecohomologycollectioncomplementcomplementscomplex
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We compute the l^2-Betti numbers of the complement of a finite collection of affine hyperplanes in complex space. At most one of the l^2-Betti numbers is non-zero.

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