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math.SG2020★ 2 cited
Real Forms of Holomorphic Hamiltonian Systems
Philip Arathoon, Marine Fontaine
By complexifying a Hamiltonian system one obtains dynamics on a holomorphic symplectic manifold. To invert this construction we present a theory of real forms which not only recove…
math.SG2017★ 1 cited
Symplectic slice for subgroup actions
Marine Fontaine
Given a symplectic manifold endowed with a proper Hamiltonian action of a Lie group , we consider the action induced by a Lie subgroup of . We propose a construct…