# Circle actions on almost complex manifolds with 4 fixed points

@article{Jang2017CircleAO,
title={Circle actions on almost complex manifolds with 4 fixed points},
author={Donghoon Jang},
journal={Mathematische Zeitschrift},
year={2017},
volume={294},
pages={287-319}
}
• D. Jang
• Published 28 January 2017
• Mathematics
• Mathematische Zeitschrift
Let the circle act on a compact almost complex manifold M . In this paper, we classify the fixed point data of the action if there are 4 fixed points and the dimension of the manifold is at most 6. By the fixed point data we mean a collection of the multisets of the weights at the fixed points. First, if $$\dim M=2$$ dim M = 2 , then M is a disjoint union of rotations on two 2-spheres. Second, if $$\dim M=4$$ dim M = 4 , we prove that the action alikes a circle action on a Hirzebruch surface…
15 Citations
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