| LDR | | 01579nam u200373 4500 |
| 001 | | 000000417966 |
| 005 | | 20190215162442 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438074446 |
| 035 | |
▼a (MiAaPQ)AAI10822696 |
| 035 | |
▼a (MiAaPQ)indiana:15239 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Allen, Samantha. |
| 245 | 10 |
▼a Relationships Between the Nonorientable Genus and the Normal Euler Number of Nonorientable Surfaces Whose Boundary Is a Knot. |
| 260 | |
▼a [S.l.]:
▼b Indiana University.,
▼c 2018. |
| 260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2018. |
| 300 | |
▼a 80 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B. |
| 500 | |
▼a Adviser: Charles Livingston. |
| 502 | 1 |
▼a Thesis (Ph.D.)--Indiana University, 2018. |
| 520 | |
▼a The nonorientable 4-genus is an invariant of knots which has been studied by many authors, including Gilmer and Livingston, Batson, and Ozsvath, Stipsicz, and Szabo. Given a nonorientable surface F in the 4-ball with boundary a knot, an analysis |
| 590 | |
▼a School code: 0093. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a Indiana University.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 79-11B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0093 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998500
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a ***1012033 |