On the Topological Invariance of Helicity - Oliver Edtmair

From Institute for Advanced Study

IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: On the Topological Invariance of Helicity Speaker: Oliver Edtmair Affiliation: ETH, Zurich Date: January 16, 2025 Helicity is an invariant of divergence free vector fields on a three-manifold. One of its fundamental properties is invariance under volume preserving diffeomorphisms. Arnold, having derived an ergodic interpretation of helicity as an asymptotic Hopf invariant, asked whether helicity remains invariant under ...