DSpace at EWHA: Symplectic Reductions on Hirzebruch Surfaces

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DC Field	Value	Language
dc.contributor.author	주수경	-
dc.creator	주수경	-
dc.date.accessioned	2016-08-25T04:08:37Z	-
dc.date.available	2016-08-25T04:08:37Z	-
dc.date.issued	1995	-
dc.identifier.other	OAK-000000022808	-
dc.identifier.uri	https://dspace.ewha.ac.kr/handle/2015.oak/180535	-
dc.identifier.uri	http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000022808	-
dc.description.abstract	Lie 군 G가 symplectic 다양체에 작용할 때 얻을 수 있는 그 다양체의 환원을 제시한다. 원이 작용했을 때 Hirzebruch 곡면에서의 환원을 알아보고 나아가 원환체 작용에 대한 모멘트 사상을 구한다.;We present the reduction of a symplectic manifold by a hamiltonian action of the Lie group G. We will study that symplectic reductions on Hirzebruch surfaces for circle action and find moment map for hamiltonian torus action on it.	-
dc.description.tableofcontents	CONTENTS = ⅲ ABSTRACT = ⅳ INTRODUCTION = 1 Ⅰ. PRELIMINARIES = 2 1. Symplectic manifolds = 2 2. Ka¨hler manifolds = 3 Ⅱ. Symplectic Reduction = 5 1. Hamiltonian vector field = 5 2. Hamiltonian action and moment map = 8 3. Symplectic reduction = 10 4. An example : CP^(n) = 13 Ⅲ. Hirzebruch surfaces = 14 1. Definition = 14 2. Symplectic forms = 20 3. Symplectic reductions on W_(k) = 22 References = 28 논문초록 = 30	-
dc.format	application/pdf	-
dc.format.extent	703646 bytes	-
dc.language	eng	-
dc.publisher	이화여자대학교 대학원	-
dc.subject	Symplectic	-
dc.subject	Reductions	-
dc.subject	Hirzebruch	-
dc.subject	Surfaces	-
dc.title	Symplectic Reductions on Hirzebruch Surfaces	-
dc.type	Master's Thesis	-
dc.format.page	iv, 30 p.	-
dc.identifier.thesisdegree	Master	-
dc.identifier.major	대학원 수학과	-
dc.date.awarded	1996. 2	-