Duke Mathematical Journal
- Duke Math. J.
- Volume 156, Number 2 (2011), 273-310.
On the orders of periodic diffeomorphisms of -manifolds
This paper initiated an investigation on the following question: Suppose that a smooth -manifold does not admit any smooth circle actions. Does there exist a constant such that the manifold supports no smooth -actions of prime order for ? We gave affirmative results to this question for the case of holomorphic and symplectic actions, with an interesting finding that the constant in the holomorphic case is topological in nature, while in the symplectic case it involves also the smooth structure of the manifold.
Duke Math. J. Volume 156, Number 2 (2011), 273-310.
First available in Project Euclid: 2 February 2011
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57S15: Compact Lie groups of differentiable transformations 57R57: Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also 58-XX]
Secondary: 57R17: Symplectic and contact topology
Chen, Weimin. On the orders of periodic diffeomorphisms of $4$ -manifolds. Duke Math. J. 156 (2011), no. 2, 273--310. doi:10.1215/00127094-2010-212. https://projecteuclid.org/euclid.dmj/1296662021