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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…
math.DG2024
Circle actions on oriented manifolds with 3 fixed points
Donghoon Jang
Let the circle group act on a compact oriented manifold with a non-empty discrete fixed point set. Then the dimension of is even. If has one fixed point, is the poi…