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Infinite Staircases for Hirzebruch Surfaces
Infinite Staircases for Hirzebruch Surfaces
Detailed Information
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151337
- ISBN
- 9798382843728
- DDC
- 510
- 저자명
- Magill, Nicki.
- 서명/저자
- Infinite Staircases for Hirzebruch Surfaces
- 발행사항
- [Sl] : Cornell University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 149 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
- 주기사항
- Advisor: Riley, Tara.
- 학위논문주기
- Thesis (Ph.D.)--Cornell University, 2024.
- 초록/해제
- 요약This thesis gives a classification of infinite staircases for the ellipsoid embedding functions of Hirzebruch surfaces. The ellipsoid embedding function is a generalization of symplectic ball packing problems. For a symplectic manifold, the function gives the smallest amount of which the symplectic form must be scaled in order for a standard ellipsoid of a given eccentricity to embed symplectically into the manifold. Generally, there are only finitely many obstructions other than the volume obstruction relevant to compute the function. If there are infinitely many obstructions, the function is said to have an infinite staircase.This classification problem was studied in a series of five papers written by: Bertozzi-Holm-Maw-McDuff-Mwakyoma-Pires-Weiler, Magill-McDuff, Magill-McDuff-Weiler, Magill, and Magill-Pires-Weiler. The thesis contains two of these papers and includes a summary of the results of the other papers.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 일반주제명
- Applied mathematics
- 기타저자
- Cornell University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 85-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211151337
■006m o d
■007cr#unu||||||||
■020 ▼a9798382843728
■035 ▼a(MiAaPQ)AAI31241996
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aMagill, Nicki.▼0(orcid)0009-0006-9001-356X
■24510▼aInfinite Staircases for Hirzebruch Surfaces
■260 ▼a[Sl]▼bCornell University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a149 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-12, Section: B.
■500 ▼aAdvisor: Riley, Tara.
■5021 ▼aThesis (Ph.D.)--Cornell University, 2024.
■520 ▼aThis thesis gives a classification of infinite staircases for the ellipsoid embedding functions of Hirzebruch surfaces. The ellipsoid embedding function is a generalization of symplectic ball packing problems. For a symplectic manifold, the function gives the smallest amount of which the symplectic form must be scaled in order for a standard ellipsoid of a given eccentricity to embed symplectically into the manifold. Generally, there are only finitely many obstructions other than the volume obstruction relevant to compute the function. If there are infinitely many obstructions, the function is said to have an infinite staircase.This classification problem was studied in a series of five papers written by: Bertozzi-Holm-Maw-McDuff-Mwakyoma-Pires-Weiler, Magill-McDuff, Magill-McDuff-Weiler, Magill, and Magill-Pires-Weiler. The thesis contains two of these papers and includes a summary of the results of the other papers.
■590 ▼aSchool code: 0058.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■650 4▼aApplied mathematics
■653 ▼aHirzebruch surfaces
■653 ▼aSymplectic manifold
■653 ▼aInfinite staircases
■653 ▼aEllipsoid embedding functions
■690 ▼a0405
■690 ▼a0642
■690 ▼a0364
■71020▼aCornell University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g85-12B.
■790 ▼a0058
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161306▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
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