서브메뉴
검색
Pseudo-Trisections of Four-Manifolds with Boundary
Pseudo-Trisections of Four-Manifolds with Boundary
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202104744
- ISBN
- 9798290652443
- DDC
- 500
- 서명/저자
- Pseudo-Trisections of Four-Manifolds with Boundary
- 발행사항
- [Sl] : Stanford University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 100 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
- 주기사항
- Advisor: Manolescu, Ciprian.
- 학위논문주기
- Thesis (Ph.D.)--Stanford University, 2025.
- 초록/해제
- 요약We introduce the concept of pseudo-trisections of smooth oriented compact 4-manifolds with boundary. The main feature of pseudo-trisections is that they have lower complexity than relative trisections for given 4-manifolds. We prove existence and uniqueness results for pseudo-trisections, and further establish a one-to-one correspondence between pseudo-trisections and their diagrammatic representations. Along the way, we develop the theory of 3-manifold trisections, improving upon pre-existing existence results and introducing a corresponding diagrammatic theory. We also introduce a group-theoretic analogue of pseudo-trisections, which is used to establish a correspondence between an algebraic theory and 4-manifolds with boundary. Finally, we introduce the concept of pseudo-bridge trisections of neatly embedded surfaces in smooth oriented compact 4-manifolds. We develop a diagrammatic theory of pseudo-bridge trisections and provide examples of how these diagrams can be used to compute invariants of neatly embedded surfaces in 4-manifolds.
- 일반주제명
- Decomposition
- 일반주제명
- Calculus
- 일반주제명
- Baseball
- 일반주제명
- Mathematics
- 일반주제명
- Theory of relativity
- 기타저자
- Stanford University.
- 기본자료저록
- Dissertations Abstracts International. 87-01B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
008260126s2025 us c eng d■001000017358738
■00520260202104744
■006m o d
■007cr#unu||||||||
■020 ▼a9798290652443
■035 ▼a(MiAaPQ)AAI32149741
■035 ▼a(MiAaPQ)Stanfordwx529ns3793
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a500
■1001 ▼aFushida Hardy, Shintaro.
■24510▼aPseudo-Trisections of Four-Manifolds with Boundary
■260 ▼a[Sl]▼bStanford University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a100 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-01, Section: B.
■500 ▼aAdvisor: Manolescu, Ciprian.
■5021 ▼aThesis (Ph.D.)--Stanford University, 2025.
■520 ▼aWe introduce the concept of pseudo-trisections of smooth oriented compact 4-manifolds with boundary. The main feature of pseudo-trisections is that they have lower complexity than relative trisections for given 4-manifolds. We prove existence and uniqueness results for pseudo-trisections, and further establish a one-to-one correspondence between pseudo-trisections and their diagrammatic representations. Along the way, we develop the theory of 3-manifold trisections, improving upon pre-existing existence results and introducing a corresponding diagrammatic theory. We also introduce a group-theoretic analogue of pseudo-trisections, which is used to establish a correspondence between an algebraic theory and 4-manifolds with boundary. Finally, we introduce the concept of pseudo-bridge trisections of neatly embedded surfaces in smooth oriented compact 4-manifolds. We develop a diagrammatic theory of pseudo-bridge trisections and provide examples of how these diagrams can be used to compute invariants of neatly embedded surfaces in 4-manifolds.
■590 ▼aSchool code: 0212.
■650 4▼aDecomposition
■650 4▼aCalculus
■650 4▼aBaseball
■650 4▼aMathematics
■650 4▼aTheory of relativity
■690 ▼a0405
■71020▼aStanford University.
■7730 ▼tDissertations Abstracts International▼g87-01B.
■790 ▼a0212
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17358738▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
