On the orders of periodic diffeomorphisms of 4-manifoldsDuke Mathematical Journal
AbstractThis paper initiated an investigation on the following question: Suppose that a smooth 4 -manifold does not admit any smooth circle actions. Does there exist a constant C>0 such that the manifold supports no smooth Zp -actions of prime order for p>C ? We gave affirmative results to this question for the case of holomorphic and symplectic actions, with an interesting finding that the constant C in the holomorphic case is topological in nature, while in the symplectic case it involves also the smooth structure of the manifold.
Citation InformationWM Chen. "On the orders of periodic diffeomorphisms of 4-manifolds" Duke Mathematical Journal Vol. 156 Iss. 2 (2011)
Available at: http://works.bepress.com/weiminchen_chen/8/