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On Topology and Geometry of the Infinite-Dimensional Space of Fibrations
On Topology and Geometry of the Infinite-Dimensional Space of Fibrations
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151418
- ISBN
- 9798382830605
- DDC
- 510
- 저자명
- Fang, Ziqi.
- 서명/저자
- On Topology and Geometry of the Infinite-Dimensional Space of Fibrations
- 발행사항
- [Sl] : University of Pennsylvania, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 126 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
- 주기사항
- Advisor: Gluck, Herman;DeTurck, Dennis.
- 학위논문주기
- Thesis (Ph.D.)--University of Pennsylvania, 2024.
- 초록/해제
- 요약We study the topological and geometric aspects of the moduli space of fiberings, which parametrizes all smooth fibrations on a given smooth closed manifold. Complementary to the classification problem, we investigate each equivalence class as an infinite-dimensional manifold inheriting structures from the diffeomorphism group. This interacts with the Lie groups of gauge symmetries and of spacetime symmetries on the one hand, and with the geometric analysis of extrinsic geometric flows on the other hand. In particular, we focus on the quest of minimal deformation retracts (the homotopy "cores") for such moduli spaces, with which we extract precise information on low-dimensional manifolds. For example, the homotopy and topological types for moduli spaces of circle fibrations on various surfaces and three-manifolds are determined explicitly.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 일반주제명
- Applied mathematics
- 키워드
- Topology
- 키워드
- Geometry
- 키워드
- Cohomology
- 기타저자
- University of Pennsylvania Mathematics
- 기본자료저록
- Dissertations Abstracts International. 85-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■006m o d
■007cr#unu||||||||
■020 ▼a9798382830605
■035 ▼a(MiAaPQ)AAI31293688
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aFang, Ziqi.
■24510▼aOn Topology and Geometry of the Infinite-Dimensional Space of Fibrations
■260 ▼a[Sl]▼bUniversity of Pennsylvania▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a126 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-12, Section: B.
■500 ▼aAdvisor: Gluck, Herman;DeTurck, Dennis.
■5021 ▼aThesis (Ph.D.)--University of Pennsylvania, 2024.
■520 ▼aWe study the topological and geometric aspects of the moduli space of fiberings, which parametrizes all smooth fibrations on a given smooth closed manifold. Complementary to the classification problem, we investigate each equivalence class as an infinite-dimensional manifold inheriting structures from the diffeomorphism group. This interacts with the Lie groups of gauge symmetries and of spacetime symmetries on the one hand, and with the geometric analysis of extrinsic geometric flows on the other hand. In particular, we focus on the quest of minimal deformation retracts (the homotopy "cores") for such moduli spaces, with which we extract precise information on low-dimensional manifolds. For example, the homotopy and topological types for moduli spaces of circle fibrations on various surfaces and three-manifolds are determined explicitly.
■590 ▼aSchool code: 0175.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■650 4▼aApplied mathematics
■653 ▼aTopology
■653 ▼aGeometry
■653 ▼aInfinite-dimensional manifold
■653 ▼aSmooth fibrations
■653 ▼aCohomology
■690 ▼a0405
■690 ▼a0642
■690 ▼a0364
■71020▼aUniversity of Pennsylvania▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g85-12B.
■790 ▼a0175
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161591▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
