Fixing the functoriality of Khovanov homology: a simple approach
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2020
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915535276474368 |
|---|---|
| author | Sano, Taketo |
| author_facet | Sano, Taketo |
| contents | Khovanov homology is functorial up to sign with respect to link cobordisms. The sign indeterminacy has been fixed by several authors, by extending the original theory both conceptually and algebraically. In this paper we propose an alternative approach: we stay in the classical setup and fix the functoriality by simply adjusting the signs of the morphisms associated to the Reidemeister moves and the Morse moves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_02131 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Fixing the functoriality of Khovanov homology: a simple approach Sano, Taketo Geometric Topology 57K18 Khovanov homology is functorial up to sign with respect to link cobordisms. The sign indeterminacy has been fixed by several authors, by extending the original theory both conceptually and algebraically. In this paper we propose an alternative approach: we stay in the classical setup and fix the functoriality by simply adjusting the signs of the morphisms associated to the Reidemeister moves and the Morse moves. |
| title | Fixing the functoriality of Khovanov homology: a simple approach |
| topic | Geometric Topology 57K18 |
| url | https://arxiv.org/abs/2008.02131 |