서브메뉴
검색
LMN Maps in Equivariant K-Theory and Applications
LMN Maps in Equivariant K-Theory and Applications
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103147
- ISBN
- 9798314890356
- DDC
- 510
- 서명/저자
- LMN Maps in Equivariant K-Theory and Applications
- 발행사항
- [Sl] : Columbia University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 53 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-11, Section: B.
- 주기사항
- Advisor: Okounkov, Andrei.
- 학위논문주기
- Thesis (Ph.D.)--Columbia University, 2025.
- 초록/해제
- 요약The goal of this thesis is to explain various Weyl/braid group actions on categories and characters associated to finite type quantum affine algebras geometrically.Specifically, we define an interesting action of a braid group on equivariant \uD835\uDC3E-theory of a finite type ADE Nakajima variety, which we prove is related to the classical Lusztig and Chari braid group actions.We then combine this braid group action with Henry Liu's study of asymptotic modules of quantum affine algebras.As a result, we get a geometric perspective on various formulas and conjectures about TQ relations obtained in the extremely interesting recent works of Frenkel, Hernandez and Wang. All results of this work involving asymptotic algebras rely on conjectural properties of the critical \uD835\uDC3E-theory of Nakajima varieties. We explain the assumptions further in the main text.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 키워드
- Q-operators
- 키워드
- Wall-crossing
- 기타저자
- Columbia University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 86-11B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
008260126s2025 us c eng d■001000017357199
■00520260202103147
■006m o d
■007cr#unu||||||||
■020 ▼a9798314890356
■035 ▼a(MiAaPQ)AAI31995504
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aLazowski, Davis Michael.
■24510▼aLMN Maps in Equivariant K-Theory and Applications
■260 ▼a[Sl]▼bColumbia University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a53 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-11, Section: B.
■500 ▼aAdvisor: Okounkov, Andrei.
■5021 ▼aThesis (Ph.D.)--Columbia University, 2025.
■520 ▼aThe goal of this thesis is to explain various Weyl
aid group actions on categories and characters associated to finite type quantum affine algebras geometrically.Specifically, we define an interesting action of a braid group on equivariant \uD835\uDC3E-theory of a finite type ADE Nakajima variety, which we prove is related to the classical Lusztig and Chari braid group actions.We then combine this braid group action with Henry Liu's study of asymptotic modules of quantum affine algebras.As a result, we get a geometric perspective on various formulas and conjectures about TQ relations obtained in the extremely interesting recent works of Frenkel, Hernandez and Wang. All results of this work involving asymptotic algebras rely on conjectural properties of the critical \uD835\uDC3E-theory of Nakajima varieties. We explain the assumptions further in the main text.
■590 ▼aSchool code: 0054.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■653 ▼aEnumerative geometry
■653 ▼aQ-operators
■653 ▼aQuantum affine algebras
■653 ▼aWall-crossing
■653 ▼aEquivariant \uD835\uDC3E-theory
■690 ▼a0405
■690 ▼a0642
■71020▼aColumbia University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g86-11B.
■790 ▼a0054
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357199▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
