Circle actions on almost complex manifolds with isolated fixed points

JOURNAL OF GEOMETRY AND PHYSICS

卷:119

Article

Jang, Donghoon¹ 

[1] Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 02455, South Korea

关键词: Circle action;    Almost complex manifold;    Fixed point;    Weight;   

DOI  :  10.1016/j.geomphys.2017.05.004

来源: Elsevier

【 摘 要 】

In Jang (2014), the author proves that if the circle acts symplectically on a compact, connected symplectic manifold M with three fixed points, then M is equivariantly symplectomorphic to some standard action on CP2. In this paper, we extend the result to a circle action on an almost complex manifold; if the circle acts on a compact, connected almost complex manifold M with exactly three fixed points, then dim M = 4. Moreover, the weights at the fixed points agree with those of a standard circle action on the complex projective plane CP2. Also, we deal with the cases of one fixed point and two fixed points. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free