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Double Ramification Cycle and Admissible Cover Cycles
Double Ramification Cycle and Admissible Cover Cycles
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105244
- ISBN
- 9798291569603
- DDC
- 510
- 저자명
- Zhao, Qiusheng.
- 서명/저자
- Double Ramification Cycle and Admissible Cover Cycles
- 발행사항
- [Sl] : University of Michigan, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 176 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-03, Section: B.
- 주기사항
- Advisor: Pixton, Aaron.
- 학위논문주기
- Thesis (Ph.D.)--University of Michigan, 2025.
- 초록/해제
- 요약We derive an explicit combinatorial formula for the double ramification cycle of type (1,-1) on the moduli space of stable genus g curves with two marked points. The formula is given as a sum over certain strata on the moduli space of curves, indexed by so-called extremal trees. We present two different proofs of the formula: one using a local equivariant method and the other using blow up and piecewise polynomial techniques. From this main result we obtain similarly-formatted variant formulas, as well as tautological relations in higher codimension. We also study the compact type double ramification cycle of type (2,-2), establish its connection with hyperelliptic admissible cover loci, and give some examples. These works link Gromov-Witten type cycles with admissible cover cycles on the moduli space of curves.
- 일반주제명
- Mathematics
- 일반주제명
- Applied mathematics
- 기타저자
- University of Michigan Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-03B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798291569603
■035 ▼a(MiAaPQ)AAI32272032
■035 ▼a(MiAaPQ)umichrackham006527
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aZhao, Qiusheng.
■24510▼aDouble Ramification Cycle and Admissible Cover Cycles
■260 ▼a[Sl]▼bUniversity of Michigan▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a176 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-03, Section: B.
■500 ▼aAdvisor: Pixton, Aaron.
■5021 ▼aThesis (Ph.D.)--University of Michigan, 2025.
■520 ▼aWe derive an explicit combinatorial formula for the double ramification cycle of type (1,-1) on the moduli space of stable genus g curves with two marked points. The formula is given as a sum over certain strata on the moduli space of curves, indexed by so-called extremal trees. We present two different proofs of the formula: one using a local equivariant method and the other using blow up and piecewise polynomial techniques. From this main result we obtain similarly-formatted variant formulas, as well as tautological relations in higher codimension. We also study the compact type double ramification cycle of type (2,-2), establish its connection with hyperelliptic admissible cover loci, and give some examples. These works link Gromov-Witten type cycles with admissible cover cycles on the moduli space of curves.
■590 ▼aSchool code: 0127.
■650 4▼aMathematics
■650 4▼aApplied mathematics
■653 ▼aModuli space of curves
■653 ▼aDouble ramification cycle
■653 ▼aAdmissible cover cycles
■653 ▼aTautological ring
■653 ▼aModuli space of relative stable maps
■690 ▼a0405
■690 ▼a0364
■71020▼aUniversity of Michigan▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g87-03B.
■790 ▼a0127
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359973▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
