Abstract
Using unknotting number, we introduce a link diagram invariant of type given in Hass and Nowik (2008) [4], which changes at most by 2 under a Reidemeister move. We show that a certain infinite sequence of diagrams of the trivial two-component link need quadratic number of Reidemeister moves for being splitted with respect to the number of crossings.
| Original language | English |
|---|---|
| Pages (from-to) | 1467-1474 |
| Number of pages | 8 |
| Journal | Topology and its Applications |
| Volume | 159 |
| Issue number | 5 |
| DOIs | |
| State | Published - 15 Mar 2012 |
Bibliographical note
Funding Information:E-mail addresses: [email protected] (C. Hayashi), [email protected] (M. Hayashi), [email protected] (T. Nowik). 1 The author is partially supported by Grant-in-Aid for Scientific Research (No. 22540101), Ministry of Education, Science, Sports and Technology, Japan.
Funding
E-mail addresses: [email protected] (C. Hayashi), [email protected] (M. Hayashi), [email protected] (T. Nowik). 1 The author is partially supported by Grant-in-Aid for Scientific Research (No. 22540101), Ministry of Education, Science, Sports and Technology, Japan.
| Funders | Funder number |
|---|---|
| Japan Society for the Promotion of Science | 22540101 |
| Ministry of Education, Culture, Sports, Science and Technology |
Keywords
- Link diagram
- Link diagram invariant
- Reidemeister move
- Unknotting number