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Framed Bundles, Abelianization, and the Ooguri-Vafa Space
Framed Bundles, Abelianization, and the Ooguri-Vafa Space
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103035
- ISBN
- 9798286441525
- DDC
- 510
- 저자명
- Nackan, Danny.
- 서명/저자
- Framed Bundles, Abelianization, and the Ooguri-Vafa Space
- 발행사항
- [Sl] : Yale University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 165 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-12, Section: A.
- 주기사항
- Advisor: Neitzke, Andrew.
- 학위논문주기
- Thesis (Ph.D.)--Yale University, 2025.
- 초록/해제
- 요약In this thesis we study the hyperkahler structure of a particular moduli space of Higgs bundles near the discriminant locus of the Hitchin fibration, which in this case consists of quadratic differentials with a double zero.Gaiotto, Moore, and Neitzke predicted that the hyperkahler Ooguri-Vafa space Mov should provide a local model for Hitchin moduli spaces near the discriminant locus. To this end, Tulli identified Mov with a certain space of framed Higgs bundles with an irregular singularity.We extend this result by identifying the Ooguri-Vafa holomorphic symplectic form with a regularized version of the Atiyah-Bott form on the associated space of framed connections. We also prove the analogous statement for the corresponding semiflat forms, which are more explicit and play a role in the asymptotic description of the hyerperkahler structure. Finally, restricting to the Hitchin section, we identify a regularized version of Hitchin's L2 -metric with the Ooguri-Vafa metric.
- 일반주제명
- Mathematics
- 일반주제명
- Mathematics education
- 키워드
- Higgs bundles
- 기타저자
- Yale University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 86-12A.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798286441525
■035 ▼a(MiAaPQ)AAI31846240
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aNackan, Danny.
■24510▼aFramed Bundles, Abelianization, and the Ooguri-Vafa Space
■260 ▼a[Sl]▼bYale University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a165 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-12, Section: A.
■500 ▼aAdvisor: Neitzke, Andrew.
■5021 ▼aThesis (Ph.D.)--Yale University, 2025.
■520 ▼aIn this thesis we study the hyperkahler structure of a particular moduli space of Higgs bundles near the discriminant locus of the Hitchin fibration, which in this case consists of quadratic differentials with a double zero.Gaiotto, Moore, and Neitzke predicted that the hyperkahler Ooguri-Vafa space Mov should provide a local model for Hitchin moduli spaces near the discriminant locus. To this end, Tulli identified Mov with a certain space of framed Higgs bundles with an irregular singularity.We extend this result by identifying the Ooguri-Vafa holomorphic symplectic form with a regularized version of the Atiyah-Bott form on the associated space of framed connections. We also prove the analogous statement for the corresponding semiflat forms, which are more explicit and play a role in the asymptotic description of the hyerperkahler structure. Finally, restricting to the Hitchin section, we identify a regularized version of Hitchin's L2 -metric with the Ooguri-Vafa metric.
■590 ▼aSchool code: 0265.
■650 4▼aMathematics
■650 4▼aMathematics education
■653 ▼aHyerperkahler structure
■653 ▼aHiggs bundles
■653 ▼aHitchin fibration
■690 ▼a0405
■690 ▼a0280
■71020▼aYale University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g86-12A.
■790 ▼a0265
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17356787▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
