This lecture gives a computation of the l2-cohomology of the universal
cover of the hyperplane complement associated to an arbitrary (infinite)
Coxeter group. The method is based on an explicit formula for the boundary
maps in the chain complex for the Salvetti complex. The same method
computes the cohomology of the hyperplane complement with generic rank
one local coefficients. Similar methods can be used to compute the
l2-cohomology of the universal cover of the complement of the
complexification of any affine real arrangement.

Keywords:

Hyperplane Arrangements

Lecture #10693

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