D. Jang

collaborators

3 papers

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…