Boundary slopes of non-orientable Seifert surfaces for knots
Topology and its Applications Volume 122 Issue 3
Page 467-478
published_at 2002-08
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| File | |
| Title ( eng ) |
Boundary slopes of non-orientable Seifert surfaces for knots
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| Creator |
Ichihara Kazuhiro
Ohtouge Masahiro
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| Source Title |
Topology and its Applications
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| Volume | 122 |
| Issue | 3 |
| Start Page | 467 |
| End Page | 478 |
| Keywords |
Boundary slope
Knot
Non-orientable
Seifert surface
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| Descriptions |
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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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
Elsevier Science
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| Date of Issued | 2002-08 |
| Rights |
Copyright (c) 2002 Elsevier Science B.V.
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0166-8641
[DOI] 10.1016/S0166-8641(01)00188-2
[DOI] http://dx.doi.org/10.1016/S0166-8641(01)00188-2
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