Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 임명임 | - |
dc.creator | 임명임 | - |
dc.date.accessioned | 2016-08-25T04:08:26Z | - |
dc.date.available | 2016-08-25T04:08:26Z | - |
dc.date.issued | 1997 | - |
dc.identifier.other | OAK-000000026137 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/181124 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000026137 | - |
dc.description.abstract | Let X be a compact, simply connected, oriented Riemannian 4-manifold. We would like to introduce the constructions of principal spin (spin_(c)) bundles over the 4-manifold X and Dirac operators on the spaces of sections of spinel bundles associated to the principal bundles over X. The third Stiefel-Whitney class w_(3) of X vanishes (w_(3)=0) if and only if there are spin_(c)(4) structures. Because w_(3) of a compact, simply connected, oriented Riemannian 4-manifold X vanishes, Dirac operators are defined on X.;X가 컴팩트인 단일연결 유향 리만 4차원 다양체일 때, 4차원 다양체인 X상의 주 회전 속을 소개하고, X의 주 속과 연계된 회전 속의 단면 공간위에서 정의 되는 디락(Dirac)연산자를 소개한다. ω_(3) ( The third Stiefel Whitney class ) 가 0이라는 것은 X위에 회전구조가 있다는 것의 필요충분조건이다. 앞에서 주어진 4차원다양체 X상의 ω_(3)은 0이 됨을 보이고, X위에서 디락(Drac)연산자를 정의한다. | - |
dc.description.tableofcontents | CONTENTS = ⅰ ABSTRACT = ⅱ INTRODUCTION = 1 Ⅰ. Clifford Algebra and Spinor Bundle = 3 1. Clifford algebra and Spin(n). = 3 2. Spin structure and Spinor bundle = 7 Ⅱ. Spin(4) and Spin(4) Representation. = 11 1. Spin(4). = 11 2. Linear algebra of Spin representation. = 15 Ⅲ. Spinor Bundle and Dirac Operator. = 18 1. Existence of Spin structure. = 18 2. Connection on Spinor bundle. = 24 3. Definition of Dirac operator. = 28 REFERENCES = 30 논문초록 = 31 | - |
dc.format | application/pdf | - |
dc.format.extent | 693519 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.subject | Spin structures | - |
dc.subject | 4-manifolds | - |
dc.subject | 수학 | - |
dc.title | Spin structures on 4-manifolds | - |
dc.type | Master's Thesis | - |
dc.format.page | ii, 31 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 1997. 2 | - |