## From Compact Semi-Toric Systems To Hamiltonian S-1-Spaces

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.

Published in:
Discrete And Continuous Dynamical Systems, 35, 1, 247-281
Year:
2015
Publisher:
Springfield, Amer Inst Mathematical Sciences
ISSN:
1078-0947
Keywords:
Laboratories: