Quasi-isomorphism of grid chain complexes for a connected sum of knots
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916216212291584 |
|---|---|
| author | Kubota, Hajime |
| author_facet | Kubota, Hajime |
| contents | We give a purely combinatorial proof of a Künneth formula for the minus version of knot Floer homology of connected sums by constructing a quasi-isomorphism of grid chain complexes. The quasi-isomorphism naturally deduces that the Legendrian and transverse invariants behave functorially with respect to the connected sum operation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02610 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quasi-isomorphism of grid chain complexes for a connected sum of knots Kubota, Hajime Geometric Topology Algebraic Topology 57K18 We give a purely combinatorial proof of a Künneth formula for the minus version of knot Floer homology of connected sums by constructing a quasi-isomorphism of grid chain complexes. The quasi-isomorphism naturally deduces that the Legendrian and transverse invariants behave functorially with respect to the connected sum operation. |
| title | Quasi-isomorphism of grid chain complexes for a connected sum of knots |
| topic | Geometric Topology Algebraic Topology 57K18 |
| url | https://arxiv.org/abs/2312.02610 |