Title
From compact semi-toric systems to Hamiltonian <tex>$S^{1}$</tex>-spaces From compact semi-toric systems to Hamiltonian <tex>$S^{1}$</tex>-spaces
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Mathematics
Source (journal)
Discrete and continuous dynamical systems
Volume/pages
35(2015) :1 , p. 247-281
ISSN
1078-0947
ISI
000341980400013
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
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.
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