The Cosmetic Crossing Conjecture for Split Links- [electronic resource]
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The Cosmetic Crossing Conjecture for Split Links- [electronic resource]
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214100445
- ISBN
- 9798379604240
- DDC
- 510
- 저자명
- Wang, Joshua.
- 서명/저자
- The Cosmetic Crossing Conjecture for Split Links - [electronic resource]
- 발행사항
- [S.l.]: : Harvard University., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(116 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
- 주기사항
- Advisor: Kronheimer, Peter.
- 학위논문주기
- Thesis (Ph.D.)--Harvard University, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 요약Given a band sum of a split two-component link along a nontrivial band, we obtain a family of knots indexed by the integers by adding any number of full twists to the band. We show that the knots in this family have the same Heegaard knot Floer homology and the same instanton knot Floer homology. In contrast, a generalization of the cosmetic crossing conjecture predicts that the knots in this family are all distinct. We verify this prediction by showing that any two knots in this family have distinct Khovanov homology. Along the way, we prove that each of the three knot homologies detects the trivial band.
- 일반주제명
- Mathematics.
- 일반주제명
- Applied mathematics.
- 키워드
- Split links
- 키워드
- Floer homology
- 키워드
- Nontrivial band
- 기타저자
- Harvard University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 84-12B.
- 기본자료저록
- Dissertation Abstract International
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
