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Knot Concordances in 3-Manifolds
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Knot Concordances in 3-Manifolds. |
| 개인저자 | Yildiz, Eylem Zeliha. |
| 단체저자명 | Michigan State University. Mathematics. |
| 발행사항 | [S.l.]: Michigan State University., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 25 p. |
| 기본자료 저록 | Dissertations Abstracts International 80-12B. Dissertation Abstract International |
| ISBN | 9781392235010 |
| 학위논문주기 | Thesis (Ph.D.)--Michigan State University, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 80-12, Section: B.
Publisher info.: Dissertation/Thesis. Advisor: Hedden, Matthew E. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | We deal with some questions regarding concordance of knots in arbitrary closed 3-manifolds. We first prove that, any non-trivial element in the fundamental group of a closed, oriented 3-manifold gives rise to infinitely many distinct smooth almost-concordance classes in the free homotopy class of the unknot. In particular, we consider these distinct smooth almost-concordance classes on the boundary of a Mazur manifold and we show none of these distinct classes bounds a PL-disk in the Mazur manifold. On the other hand, all the representatives we construct are topologically slice. We also prove that all knots in the free homotopy class of S1 x pt in S1 x S2 are smoothly concordant. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
