# Circle actions on six dimensional oriented manifolds with isolated fixed points

@inproceedings{Jang2021CircleAO, title={Circle actions on six dimensional oriented manifolds with isolated fixed points}, author={Donghoon Jang}, year={2021} }

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…

## One Citation

### Graphs for torus actions on oriented manifolds with isolated fixed points and classification in dimension 6

- Mathematics
- 2022

To a torus action on a compact oriented manifold M with isolated fixed points, we associate a signed labeled multigraph encoding the fixed point data (weights and signs at fixed points and isotropy…

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