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Quantum Cohomology and Manifolds of Geodesics
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Otto van Koert | - |
dc.contributor.author | 설석봉 | - |
dc.date.accessioned | 2017-07-19T09:01:21Z | - |
dc.date.available | 2017-07-19T09:01:21Z | - |
dc.date.issued | 2016-08 | - |
dc.identifier.other | 000000136257 | - |
dc.identifier.uri | https://hdl.handle.net/10371/131508 | - |
dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2016. 8. Otto van Koert. | - |
dc.description.abstract | This paper is a survey paper to describe the quantum product, the (small) quantum cohomology and their computations. The quantum product and the quantum cohomology of smooth projective quadrics and partial flag manifolds are presented here. The relation between those spaces and manifolds of geodesics are mentioned: the manifold of geodesics on S^n and the smooth projective quadric Q^(n+1) are symplectomoprhic and the manifold of geodesics on P^n and the partial flag manifold F(1, 2, n+1) are diffeomorphic while symplectomoprhism is still unknown. | - |
dc.description.tableofcontents | Introduction 1
1 Quantum Cohomology 3 1.1 3-point Gromov-Witten Invariants 3 1.2 Quantum Product and Quantum Cohomology 8 2 Manifolds of Geodesics 10 2.1 Manifolds of Geodesics: Construction 10 2.2 Manifolds of Geodesics: Symplectic 14 2.3 The case M=Sn 15 2.4 The case M=Pn 18 3 Projective Smooth Quadrics 23 3.1 The case n=1 23 3.2 The case n=2 24 3.3 General case: n≥3 25 4 Partial Flag Manifolds 30 4.1 Cohomology of Partial Flag Manifolds 30 4.2 Schubert Calculus on Partial Flag Manifolds 31 4.3 Quantum Cohomology of F(1,2,n) 36 References 45 초록 48 | - |
dc.format | application/pdf | - |
dc.format.extent | 2819811 bytes | - |
dc.format.medium | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject | Quantum cohomology | - |
dc.subject | Manifold of geodesics | - |
dc.subject | Quadric | - |
dc.subject | Partial flag manifold | - |
dc.subject.ddc | 510 | - |
dc.title | Quantum Cohomology and Manifolds of Geodesics | - |
dc.type | Thesis | - |
dc.contributor.AlternativeAuthor | Seokbong Seol | - |
dc.description.degree | Master | - |
dc.citation.pages | 47 | - |
dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
dc.date.awarded | 2016-08 | - |
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