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020 ▼a 9781392235010
035 ▼a (MiAaPQ)AAI13887094
035 ▼a (MiAaPQ)grad.msu:16883
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 510
1001 ▼a Yildiz, Eylem Zeliha.
24510 ▼a Knot Concordances in 3-Manifolds.
260 ▼a [S.l.]: ▼b Michigan State University., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 25 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 80-12, Section: B.
500 ▼a Publisher info.: Dissertation/Thesis.
500 ▼a Advisor: Hedden, Matthew E.
5021 ▼a Thesis (Ph.D.)--Michigan State University, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a 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.
590 ▼a School code: 0128.
650 4 ▼a Mathematics.
690 ▼a 0405
71020 ▼a Michigan State University. ▼b Mathematics.
7730 ▼t Dissertations Abstracts International ▼g 80-12B.
773 ▼t Dissertation Abstract International
790 ▼a 0128
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15491555 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1008102
991 ▼a E-BOOK