D. Jang

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20182022

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math.DG2022

Almost complex torus manifolds -- graphs, Hirzebruch genera, and problem of Petrie type

Donghoon Jang

Let a $k$ -dimensional torus $T^{k}$ act on a $2 n$ -dimensional compact connected almost complex manifold $M$ with isolated fixed points. As for circle actions, we show that there exis…

math.DG2020

Circle actions on 8-dimensional almost complex manifolds with 4 fixed points

Donghoon Jang

Consider a circle action on an 8-dimensional compact almost complex manifold with 4 fixed points. To the author's knowledge, $S^{2} \times S^{6}$ is the only known example of such a ma…

math.DG2018

Kosniowski's conjecture and weights

Donghoon Jang

The conjecture of Kosniowski asserts that if the circle acts on a compact unitary manifold $M$ with a non-empty fixed point set and $M$ does not bound a unitary manifold equivarian…

math.DG2018

Torus actions on oriented manifolds of generalized odd type

Donghoon Jang

Landweber and Stong prove that if a closed spin manifold $M$ admits a smooth $S^{1}$ -action of odd type, then its signature $sign (M)$ vanishes. In this paper, we extend the…