We define a notion of semi-conjugacy between orientation-preserving actions of a group on the circle, which for fixed point free actions coincides with a classical definition of Ghys. We then show that two circle actions are semi-conjugate if and only if they have the same bounded Euler class. This clarifies some existing confusion present in the literature.
A note on semi-conjugacy for circle actions
FRIGERIO, ROBERTO;
2016-01-01
Abstract
We define a notion of semi-conjugacy between orientation-preserving actions of a group on the circle, which for fixed point free actions coincides with a classical definition of Ghys. We then show that two circle actions are semi-conjugate if and only if they have the same bounded Euler class. This clarifies some existing confusion present in the literature.File in questo prodotto:
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