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Legendrian Non-Squeezing Via Microsheaves
Legendrian Non-Squeezing Via Microsheaves
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105616
- ISBN
- 9798265428257
- DDC
- 512
- 서명/저자
- Legendrian Non-Squeezing Via Microsheaves
- 발행사항
- [Sl] : Stanford University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 61 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-05, Section: B.
- 주기사항
- Advisor: Eliashberg, Yakov.
- 학위논문주기
- Thesis (Ph.D.)--Stanford University, 2025.
- 초록/해제
- 요약We show that Legendrian pre-quantization lifts of many non-exact Lagrangian submanifolds in Cn retain some quantitative rigidity from the symplectic base. In particular, they cannot be moved by Legendrian isotopy into an arbitrarily small pre-quantized cylinder. This is a high dimensional generalization of results of Dimitroglou Rizell-Sullivan in dimension 3. In this setting, we give a new proof of non-squeezing using normal rulings, and in high dimension, we obtain our results using a category of (micro)sheaves associated to a Legendrian submanifold of pre-quantizations.
- 일반주제명
- Algebra
- 일반주제명
- Vector space
- 일반주제명
- Inequality
- 일반주제명
- Neighborhoods
- 일반주제명
- Geometry
- 일반주제명
- Mathematics
- 기타저자
- Stanford University.
- 기본자료저록
- Dissertations Abstracts International. 87-05B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■006m o d
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■020 ▼a9798265428257
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■035 ▼a(MiAaPQ)Stanfordjb114jm6843
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a512
■1001 ▼aKilgore, Eric Hubbard.
■24510▼aLegendrian Non-Squeezing Via Microsheaves
■260 ▼a[Sl]▼bStanford University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a61 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-05, Section: B.
■500 ▼aAdvisor: Eliashberg, Yakov.
■5021 ▼aThesis (Ph.D.)--Stanford University, 2025.
■520 ▼aWe show that Legendrian pre-quantization lifts of many non-exact Lagrangian submanifolds in Cn retain some quantitative rigidity from the symplectic base. In particular, they cannot be moved by Legendrian isotopy into an arbitrarily small pre-quantized cylinder. This is a high dimensional generalization of results of Dimitroglou Rizell-Sullivan in dimension 3. In this setting, we give a new proof of non-squeezing using normal rulings, and in high dimension, we obtain our results using a category of (micro)sheaves associated to a Legendrian submanifold of pre-quantizations.
■590 ▼aSchool code: 0212.
■650 4▼aAlgebra
■650 4▼aVector space
■650 4▼aInequality
■650 4▼aNeighborhoods
■650 4▼aGeometry
■650 4▼aMathematics
■690 ▼a0405
■71020▼aStanford University.
■7730 ▼tDissertations Abstracts International▼g87-05B.
■790 ▼a0212
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17360763▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
