Convexity of singular affine structures and toric-focus integrable hamiltonian systems
Auteur :
Ratiu, Tudor S. / Wacheux, Christophe / Zung, Nguyen Tien
Éditeur :
American Mathematical Society
ISBN :
9781470464394
Date de publication :
31 juil. 2023
Dimensions :
25,4 x 17,8 cm
Langue :
Anglais
Pays d'origine :
USA
A systematic study of symplectic convexity for integrable Hamiltonian systems with elliptic and focus-focus singularities. Peculiarly, these systems’ base spaces are still smooth manifolds, analogous to the toric case, but their associated integral affine structures are singular, with non-trivial monodromy, due to focus singularities.