Lagrangian Surplusection Phenomena

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2024
• Автори: Dimitroglou Rizell, Georgios, Evans, Jonathan David
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2024
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/212783
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Lagrangian Surplusection Phenomena. Georgios Dimitroglou Rizell and Jonathan David Evans. SIGMA 20 (2024), 109, 13 pages

Suppose you have a family of Lagrangian submanifolds ₜ and an auxiliary Lagrangian . Suppose that intersects some of the ₜ more than the minimal number of times. Can you eliminate surplus intersection (surplusection) with all fibres by performing a Hamiltonian isotopy of ? Or will any Lagrangian is...