3 problems

Let ${\mathcal F}$ be an arbitrary foliation on a compact Riemannian manifold. Let $D_F=d_F+d^*_F$ be the leafwise signature operator on $M$, let $D_{{\mathcal F}_N}$ be the corres…

Let $Y$ be the Milnor fibre compactification equipped with the product-type metric described above, and let $D$ be its signature operator. Denote by $D_{I-P_{Y_0}}$ the operator wi…

Let $\pi\colon M\to B$ and $\theta\colon N\to B$ be smooth fibre bundles of compact manifolds over the same base, with normal $\Gamma$-coverings $p\colon \widetilde M\to M$ and…