The $ν^+$-equivalence classes of genus one knots
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2019
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911828036026368 |
|---|---|
| author | Sato, Kouki |
| author_facet | Sato, Kouki |
| contents | The $ν^+$-equivalence is an equivalence relation on the knot concordance group. This relation can be seen as a certain stable equivalence on knot Floer complexes $CFK^{\infty}$, and many concordance invariants derived from Heegaard Floer theory are invariant under the equivalence. In this paper, we show that any genus one knot is $ν^+$-equivalent to one of the trefoil, its mirror and the unknot. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_09116 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | The $ν^+$-equivalence classes of genus one knots Sato, Kouki Geometric Topology 57M25, 57M27 The $ν^+$-equivalence is an equivalence relation on the knot concordance group. This relation can be seen as a certain stable equivalence on knot Floer complexes $CFK^{\infty}$, and many concordance invariants derived from Heegaard Floer theory are invariant under the equivalence. In this paper, we show that any genus one knot is $ν^+$-equivalent to one of the trefoil, its mirror and the unknot. |
| title | The $ν^+$-equivalence classes of genus one knots |
| topic | Geometric Topology 57M25, 57M27 |
| url | https://arxiv.org/abs/1907.09116 |