Triple point cancelling numbers of surface links and quandle cocycle invariants
Topology and its Applications Volume 153 Issue 15
Page 2815-2822
published_at 2006-09-01
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| File | |
| Title ( eng ) |
Triple point cancelling numbers of surface links and quandle cocycle invariants
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| Creator |
Iwakiri Masahide
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| Source Title |
Topology and its Applications
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| Volume | 153 |
| Issue | 15 |
| Start Page | 2815 |
| End Page | 2822 |
| Abstract |
The unknotting or triple point cancelling number of a surface link F is the least number of 1-handles for F such that the 2-knot obtained from F by surgery along them is unknotted or pseudo-ribbon, respectively. These numbers have been often studied by knot groups and Alexander invariants. On the other hand, quandle colorings and quandle cocycle invariants of surface links were introduced and applied to other aspects, including non-invertibility and triple point numbers. In this paper, we give lower bounds of the unknotting or triple point cancelling numbers of surface links by using quandle colorings and quandle cocycle invariants.
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| Keywords |
surface link
unknotting number
triple point cancelling number
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
Elsevier
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| Date of Issued | 2006-09-01 |
| Rights |
Copyright (c) 2006 Elsevier Ltd.
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0166-8641
[DOI] 10.1016/j.topol.2005.12.001
[NCID] AA00459572
[DOI] http://dx.doi.org/10.1016/j.topol.2005.12.001
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