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From compact semi-toric systems to Hamiltonian $S^{1}$-spaces

Tijdschriftbijdrage - Tijdschriftartikel

We show how any labeled convex polygon associated to a compact semi-toric system, as de fined by V (u) over tilde Ngoc, determines Karshon's labeled directed graph which classifies the underlying Hamiltonian S-1-space up to isomorphism. Then we characterize adaptable compact semi-toric systems, i.e. those whose underlying Hamiltonian S-1-action can be extended to an effective Hamiltonian T-2-action, as those which have at least one associated convex polygon which satisfies the Delzant condition.
Tijdschrift: Discrete and continuous dynamical systems
ISSN: 1078-0947
Volume: 35
Pagina's: 247 - 281
Jaar van publicatie:2015
Trefwoorden:A1 Journal article
Toegankelijkheid:Closed