Publication Date
2011
Journal or Book Title
Duke Mathematical Journal
Abstract
This 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.
Pages
273-310
Volume
156
Issue
2
Recommended Citation
Chen, WM, "On the orders of periodic diffeomorphisms of 4-manifolds" (2011). Duke Mathematical Journal. 1197.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1197
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.dmj/1296662021