Year: 2025
Type: article
Abstract: We provide a C 0 counterexample to the Lagrangian Arnold conjecture in the cotangent bundle of a closed manifold. Additionally, we prove a quantitative h -principle for subcritical isotropic embeddings in contact manifolds and provide an explicit construction of a contact homeomorphism that takes a subcritical isotropic curve to a transverse one. On the rigid side, we give another proof of the Dimitroglou Rizell and Sullivan theorem which states that Legendrian knots are preserved by contact homeomorphisms, provided their image is smooth. Moreover, our method gives related examples of rigidity in higher dimensions as well.
Source: Israel Journal of Mathematics
Author: Maksim Stokić
Institution: Tel Aviv University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W4410312118