Abstract
For a Riemannian foliation \(\mathcal F\) on a closed manifold M, we define L 2-spectral sequence Betti numbers and spectral sequence Novikov–Shubin invariants. The spectral sequence of the lift of \(\mathcal F\) to the universal covering of M is used in the definitions. These invariants are natural extensions of the L 2-Betti numbers and the Novikov–Shubin invariants of differentiable manifolds. It is shown that these numbers are invariant by foliated homotopy equivalences, and they are computed for several examples.
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