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math.SG2024
Non-orderability and the contact Hofer norm
Jakob Hedicke, Egor Shelukhin
We relate non-orderability in contact topology to shortening in the contact Hofer norm. Combined with considerations of open books, this provides many new examples of non-orderable…
math.SG2024
A counterexample to Lagrangian Poincaré recurrence
Filip Broćić, Egor Shelukhin
We provide a counterexample to the Lagrangian Poincaré recurrence conjecture of Ginzburg and Viterbo in all dimensions and greater.
math.SG2024
Weinstein exactness of nearby Lagrangians and related questions
Marcelo S. Atallah, Jean-Philippe Chassé, Rémi Leclercq +1
We address the following problem: if a Hamiltonian diffeomorphism maps a Lagrangian submanifold to a small Weinstein neighborhood of , is the image necessarily Hamiltonian i…