A symplectic fixed point theorem on open manifolds

@inproceedings{Colvin1982ASF,
  title={A symplectic fixed point theorem on open manifolds},
  author={Michael R. Colvin and Kent E. Morrison},
  year={1982}
}
In 1968 Bourgin proved that every measure-preserving, orientationpreserving homeomorphism of the open disk has a fixed point, and he asked whether such a result held in higher dimensions. Asimov, in 1976, constructed counterexamples in all higher dimensions. In this paper we answer a weakened form of Bourgin's question dealing with symplectic diffeomorphisms: every symplectic diffeomorphism of an even-dimensional cell sufficiently close to the identity in the C'-fine topology has a fixed point… 
3 Citations

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