Boundary slopes of non-orientable Seifert surfaces for knots
Use this link to cite this item : https://ir.lib.hiroshima-u.ac.jp/00014672
ID | 14672 |
file | |
creator |
Ichihara, Kazuhiro
Ohtouge, Masahiro
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subject | Boundary slope
Knot
Non-orientable
Seifert surface
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NDC |
Mathematics
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description | We study non-orientable Seifert surfaces for knots in the 3-sphere, and examine their boundary slopes. In particular, it is shown that for a crosscap number two knot, there are at most two slopes which can be the boundary slope of its minimal genus non-orientable Seifert surface, and an infinite family of knots with two such slopes will be described. Also, we discuss the existence of essential non-orientable Seifert surfaces for knots.
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journal title |
Topology and its Applications
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volume | Volume 122
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issue | Issue 3
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start page | 467
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end page | 478
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date of issued | 2002-08
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publisher | Elsevier Science
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issn | 0166-8641
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publisher doi | |
language |
eng
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nii type |
Journal Article
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HU type |
Journal Articles
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DCMI type | text
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format | application/pdf
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text version | author
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rights | Copyright (c) 2002 Elsevier Science B.V.
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relation is version of URL | http://dx.doi.org/10.1016/S0166-8641(01)00188-2
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department |
Graduate School of Education
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