18 citations · 73 across the 20 of their papers we have counts for
22 papers
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,…
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…
Circle actions on oriented 4-manifolds
Donghoon Jang, Oleg R. Musin
In the present paper, we consider an action of the circle group on a compact oriented 4-manifold. We derive the Atiyah-Hirzebruch formula for the manifold, and associate a graph in…
Six dimensional almost complex torus manifolds with Euler number six
Donghoon Jang, Jiyun Park
An almost complex torus manifold is a -dimensional compact connected almost complex manifold equipped with an effective action of a real -dimensional torus $T^n \simeq (S^1)…
Spin structures on complex projective spaces and circle actions
Donghoon Jang
It is known that the complex projective space admits a spin structure if and only if is odd. In this paper, we provide another proof that doe…
Circle actions on 6-dimensional oriented manifolds with 4 fixed points
Donghoon Jang
In this paper, we classify the fixed point data (weights and signs at the fixed points), of a circle action on a 6-dimensional compact oriented manifold with 4 fixed points. We pro…