3 papers
math.AT2026
Lower bound on the number of fixed points for circle actions on 10-dimensional almost complex manifolds
Donghoon Jang
For a circle action on a compact almost complex manifold with a fixed point, the lower bound on the number of fixed points is known in dimension up to 12 except 10. In this paper,…
math.DG2025
Circle actions on six dimensional oriented manifolds with isolated fixed points
Donghoon Jang
To classify a group action on a manifold, the data associated with the fixed point set is essential. In this paper, we classify the fixed point data of a circle action on a 6-dimen…
math.DG2025
Four dimensional almost complex torus manifolds
Donghoon Jang
In dimension 4, we extend the correspondence between compact nonsingular toric varieties and regular fans to a correspondence between almost complex torus manifolds and families of…