Real Forms of Holomorphic Hamiltonian Systems

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2024
• Автори: Arathoon, Philip, Fontaine, Marine
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2024
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/212778
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Real Forms of Holomorphic Hamiltonian Systems. Philip Arathoon and Marine Fontaine. SIGMA 20 (2024), 114, 24 pages

By complexifying a Hamiltonian system, one obtains dynamics on a holomorphic symplectic manifold. To invert this construction, we present a theory of real forms that not only recovers the original system but also yields different real Hamiltonian systems that share the same complexification. This pr...