Real Forms of Holomorphic Hamiltonian Systems

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...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Authors: Arathoon, Philip, Fontaine, Marine
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212778
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Real Forms of Holomorphic Hamiltonian Systems. Philip Arathoon and Marine Fontaine. SIGMA 20 (2024), 114, 24 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine