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math.SG2017
Convexity of singular affine structures and toric-focus integrable Hamiltonian systems
Tudor Ratiu, Christophe Wacheux, Nguyen Tien Zung
This work is devoted to a systematic study of symplectic convexity for integrable Hamiltonian systems with elliptic and focus-focus singularities. A distinctive feature of these sy…
math.SG2017
Presymplectic convexity and (ir)rational polytopes
Tudor Ratiu, Nguyen Tien Zung
In this paper, we extend the Atiyah--Guillemin--Sternberg convexity theorem and Delzant's classification of symplectic toric manifolds to presymplectic manifolds. We also define an…