Rotation sets for homeomorphisms and homology

Pollicott, Mark

doi:10.1090/S0002-9947-1992-1094554-2

Rotation sets for homeomorphisms and homology
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Trans. Amer. Math. Soc. 331 (1992), 881-894 Request permission

Abstract:

In this article we propose a definition of rotation sets for homeomorphisms of arbitrary compact manifolds. This approach is based on taking the suspended flow and using ideas of Schwartzmann on homology and winding cycles for flows. Our main application is to give a generalisation of a theorem of Llibre and MacKay for tori to the context of surfaces of higher genus.

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