4 papers
Jiggling: an h-principle without homotopical assumptions
Anna Fokma, Álvaro del Pino, Lauran Toussaint
The jiggling lemma of Thurston shows that any triangulation can be jiggled (read: subdivided and then perturbed) to be in general position with respect to a distribution. Our main…
Vanishing cycles of symplectic foliations
Fabio Gironella, Klaus Niederkrüger, Lauran Toussaint
Several results in recent years have shown that the usual generalizations of taut foliations to higher dimensions, based only on topological concepts, lead to a theory that lacks t…
Formal Poisson (co)homology of the Lefschetz singularity
Lauran Toussaint, Florian Zeiser
We compute the formal Poisson cohomology groups of a real Poisson structure on associated to the Lefschetz singularity . In partic…
Wrinkling and Haefliger structures
Anna Fokma, Álvaro del Pino, Lauran Toussaint
Wrinkling techniques, introduced by Eliashberg and Mishachev, are typically used to prove h-principles of the form: ``formal solutions of a partial differential relation $\mathcal{…