18 citations · 73 across the 20 of their papers we have counts for
5 papers · 1 filter
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,…
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…