02.06.2023, 11 Uhr
– Haus 9, Raum 2.22
Varieties of Discrete Signatures
Carlo Bellingeri (TU)
We prove that any smooth foliation that admits a Riemannian foliation structure has a well-defined basic signature, and this geometrically defined invariant is actually
a foliated homotopy invariant. We also show that foliated homotopic maps between Riemannian foliations induce isomorphic maps on basic Lichnerowicz cohomology, and that the Alvarez class of a Riemannian foliation is invariant under foliated homotopy equivalence. This is a joint work with Ken Richardson.