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Bordered Heegaard Floer Modules for Satellite Operations Using Planar Graphs
Bordered Heegaard Floer Modules for Satellite Operations Using Planar Graphs
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103525
- ISBN
- 9798280750678
- DDC
- 510
- 저자명
- Sethi, Shikhin.
- 서명/저자
- Bordered Heegaard Floer Modules for Satellite Operations Using Planar Graphs
- 발행사항
- [Sl] : Princeton University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 108 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
- 주기사항
- Advisor: Ozsvath, Peter S.
- 학위논문주기
- Thesis (Ph.D.)--Princeton University, 2025.
- 초록/해제
- 요약Lipshitz, Ozsvath, and Thurston extend the theory of bordered Heegaard Floer homology to compute CF-. Like with the hat theory, their minus invariants provide a recipe to compute knot invariants associated to satellite knots. We combinatorially construct the weighted A∞-modules associated to the (p, 1)-cable. The operations on these modules count certain classes of inductively constructed decorated planar graphs. This description of the weighted A∞-modules provides a combinatorial proof of the A∞ structure relations for the modules. We further prove a uniqueness property for the modules we construct: any weighted extensions of the unweighted U = 0 modules have isomorphic associated type D modules.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 일반주제명
- Applied mathematics
- 키워드
- Topology
- 키워드
- Satellite knots
- 키워드
- Planar graphs
- 기타저자
- Princeton University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 86-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■007cr#unu||||||||
■020 ▼a9798280750678
■035 ▼a(MiAaPQ)AAI32039226
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aSethi, Shikhin.
■24510▼aBordered Heegaard Floer Modules for Satellite Operations Using Planar Graphs
■260 ▼a[Sl]▼bPrinceton University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a108 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-12, Section: B.
■500 ▼aAdvisor: Ozsvath, Peter S.
■5021 ▼aThesis (Ph.D.)--Princeton University, 2025.
■520 ▼aLipshitz, Ozsvath, and Thurston extend the theory of bordered Heegaard Floer homology to compute CF-. Like with the hat theory, their minus invariants provide a recipe to compute knot invariants associated to satellite knots. We combinatorially construct the weighted A∞-modules associated to the (p, 1)-cable. The operations on these modules count certain classes of inductively constructed decorated planar graphs. This description of the weighted A∞-modules provides a combinatorial proof of the A∞ structure relations for the modules. We further prove a uniqueness property for the modules we construct: any weighted extensions of the unweighted U = 0 modules have isomorphic associated type D modules.
■590 ▼aSchool code: 0181.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■650 4▼aApplied mathematics
■653 ▼aTopology
■653 ▼aHeegaard Floer homology
■653 ▼aSatellite knots
■653 ▼aPlanar graphs
■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=T17357530▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
