The Cosmetic Crossing Conjecture for Split Links- [electronic resource]
The Cosmetic Crossing Conjecture for Split Links- [electronic resource]
- Material Type
- 단행본
- 0016932340
- Date and Time of Latest Transaction
- 20240214100445
- ISBN
- 9798379604240
- DDC
- 510
- Author
- Wang, Joshua.
- Title/Author
- The Cosmetic Crossing Conjecture for Split Links - [electronic resource]
- Publish Info
- [S.l.]: : Harvard University., 2023
- Publish Info
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- Material Info
- 1 online resource(116 p.)
- General Note
- Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
- General Note
- Advisor: Kronheimer, Peter.
- 학위논문주기
- Thesis (Ph.D.)--Harvard University, 2023.
- Restrictions on Access Note
- This item must not be sold to any third party vendors.
- Abstracts/Etc
- 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.
- Subject Added Entry-Topical Term
- Mathematics.
- Subject Added Entry-Topical Term
- Applied mathematics.
- Index Term-Uncontrolled
- Split links
- Index Term-Uncontrolled
- Crossing conjecture
- Index Term-Uncontrolled
- Floer homology
- Index Term-Uncontrolled
- Nontrivial band
- Added Entry-Corporate Name
- Harvard University Mathematics
- Host Item Entry
- Dissertations Abstracts International. 84-12B.
- Host Item Entry
- Dissertation Abstract International
- Electronic Location and Access
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- 소장사항
-
202402 2024
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