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math.DG2023
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.AT2023★ 1 cited
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…
math.AT2023
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)…