서브메뉴
검색
Bordered Legendrian Rational Symplectic Field Theory
Bordered Legendrian Rational Symplectic Field Theory
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103520
- ISBN
- 9798280747838
- DDC
- 510
- 서명/저자
- Bordered Legendrian Rational Symplectic Field Theory
- 발행사항
- [Sl] : Princeton University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 93 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
- 주기사항
- Advisor: Pardon, John.
- 학위논문주기
- Thesis (Ph.D.)--Princeton University, 2025.
- 초록/해제
- 요약In this thesis, we develop a bordered version of Ng's Legendrian Rational Symplectic Field Theory. Given a Legendrian knot Λ ⊂ R3 and a vertical line dividing the front projection of Λ into two parts, we construct a differential graded algebra associated to each half-knot. We then show that one may obtain the commutative algebra from Legendrian Symplectic Field Theory as a pushout of the two bordered algebras. This construction extends Sivek's bordered Chekanov-Eliashberg differential graded algebra by incorporating disks with multiple positive punctures into the differential.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 일반주제명
- Applied mathematics
- 키워드
- Contact geometry
- 기타저자
- Princeton University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 86-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
008260126s2025 us c eng d■001000017357498
■00520260202103520
■006m o d
■007cr#unu||||||||
■020 ▼a9798280747838
■035 ▼a(MiAaPQ)AAI32038657
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aWlodek, Maciej Romuald.
■24510▼aBordered Legendrian Rational Symplectic Field Theory
■260 ▼a[Sl]▼bPrinceton University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a93 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-12, Section: B.
■500 ▼aAdvisor: Pardon, John.
■5021 ▼aThesis (Ph.D.)--Princeton University, 2025.
■520 ▼aIn this thesis, we develop a bordered version of Ng's Legendrian Rational Symplectic Field Theory. Given a Legendrian knot Λ ⊂ R3 and a vertical line dividing the front projection of Λ into two parts, we construct a differential graded algebra associated to each half-knot. We then show that one may obtain the commutative algebra from Legendrian Symplectic Field Theory as a pushout of the two bordered algebras. This construction extends Sivek's bordered Chekanov-Eliashberg differential graded algebra by incorporating disks with multiple positive punctures into the differential.
■590 ▼aSchool code: 0181.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■650 4▼aApplied mathematics
■653 ▼aContact geometry
■653 ▼aLegendrian knot theory
■653 ▼aSymplectic Field Theory
■690 ▼a0405
■690 ▼a0642
■690 ▼a0364
■71020▼aPrinceton University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g86-12B.
■790 ▼a0181
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357498▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
