m at h . A T ] 3 1 A ug 2 00 5 GRAPHS AND ( Z 2 ) k - ACTIONS
نویسنده
چکیده
Let (Φ,M) be an effective smooth action of (Z2) k on an n-dimensional smooth closed connected manifold having a finite fixed set. One can associate to this action a regular graph of valency n. If the action is nonbounding one uses this graph to obtain a lower bound for the number of fixed points. Furthermore, this result is applied to a general nonbounding (Z2) -action fixing a finite fixed set. With the help of graphs and the Kosniowski-Stong formula, up to cobordism all (Z2) -actions fixing three isolated points (resp. four isolated points) are classified completely, and at the same time, the Smith problem for (Z2) -actions fixing three isolated points (resp. four isolated points) is also solved.
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تاریخ انتشار 2005