%0 Book Section
%T Hodge theory for Riemannian solenoids.
publisher Springer
%D 2012
%U 978-1-4614-0054-7
%@ https://hdl.handle.net/20.500.14352/45446
%X A measured solenoid is a compact laminated space endowed with a transversal measure. The De Rham L 2-cohomology of the solenoid is defined by using differential forms which are smooth in the leafwise directions and L 2 in the transversal direction. We develop the theory of harmonic forms for Riemannian measured solenoids, and prove that this computes the De Rham L 2-cohomology of the solenoid.This implies in particular a Poincaré duality result.
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