Effective Hamiltonian Circle Actions with Finite Fixed Points on the Complex Projective Plane

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/93554

Title:	Effective Hamiltonian Circle Actions with Finite Fixed Points on the Complex Projective Plane
Authors:	胡喬晏;Hu, Joanne
Contributors:	數學系
Keywords:	Symplectic geometry;Hamiltonian action;Effective Hamiltonian action;Symplectic geometry;Hamiltonian action;Effective Hamiltonian action
Date:	2023-07-24
Issue Date:	2024-09-19 17:13:19 (UTC+8)
Publisher:	國立中央大學
Abstract:	我們根據 Y. Karshon 博士在1998年發表的論文《 Periodic Hamiltonian Flows on Four Dimensional Manifolds 》研究對於在複射影平面上具有有限不動點的一維球作用進行分類。我們的結論是:每個這樣的作用都會辛同構到線性作用。;We classify the effective Hamiltonian $S^1$-actions with finite fixed points on the complex projective plane based on the work of Y. Karshon, ``Periodic Hamiltonian Flows on Four Dimensional Manifolds". Our conclusion is that every such action is symplectomorphic to a standard linear case.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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