Graphs of 2-torus Actions
نویسنده
چکیده
It has been known that an effective smooth (Z2) -action on a smooth connected closed manifold M fixing a finite set can be associated to a (Z2) -colored regular graph. In this paper, we consider abstract graphs (Γ, α) of (Z2) -actions, called abstract 1-skeletons. We study when an abstract 1-skeleton is a colored graph of some (Z2) -action. We also study the existence of faces of an abstract 1-skeleton (note that faces often have certain geometric meanings if an abstract 1-skeleton is a colored graph of some (Z2) -action).
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تاریخ انتشار 2007