06.06.2023, 15 Uhr
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Arbeitsgruppenseminar Analysis
Phenomena in High Dimensions
Pierre Youssef (New York University, Abu Dhabi)
Georges Habib
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.