• Corpus ID: 237142439

Circle actions on six dimensional oriented manifolds with isolated fixed points

  title={Circle actions on six dimensional oriented manifolds with isolated fixed points},
  author={Donghoon Jang},
  • D. Jang
  • Published 17 August 2021
  • Mathematics
Circle actions and torus actions on compact oriented 4manifolds were studied and classified in 1970’s but completely classifying those actions on 6-manifolds is challenging and known results on 6manifolds require strong assumptions on actions and/or manifolds. In this paper, we study circle actions on compact oriented 6-manifolds with finite fixed point sets. We show that for any such manifold, we can successively take equivariant connected sums at fixed points with S, CP, and 6-dimensional… 
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