October 25, 2024

**Title:** *Jiggling: an h-principle without homotopical assumptions*

**Speaker:** Anna Fokma

In 1974 Thurston, in one of his many proofs on foliations, used a technique called jiggling. This shows that, given a distribution, any embedding is homotopic to a piecewise transverse embedding. I will discuss the key ideas in the proof of jiggling and how we can generalize jiggling to certain first order differential relations on bundles. This allows us to make statements about the topology of the space of (piecewise) solutions of such a relation. I will give examples as to how these statements compare to other so-called h-principles.