A Note on Invariants of Flows Induced by Abelian Differentials on Riemann Surfaces
نویسنده
چکیده
The real and imaginary part of any Abelian differential on a compact Riemann surface define two flows on the underlying compact orientable C surface. Furthermore, these flows induce an interval exchange transformation on every transversal simple closed curve, via Poincaré recurrence. This note shows that the ordered K0groups of several Calgebras naturally associated to one of the flows resp. interval exchange transformations are isomorphic, mainly using the methods of I. Putnam [Put89, Put92].
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تاریخ انتشار 2008