Independence complexes of circle graphs
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916502541697024 |
|---|---|
| author | Bakshi, Rhea Palak Guo, Ali Ibarra, Dionne Montoya-Vega, Gabriel Mukherjee, Sujoy Silvero, Marithania Spreer, Jonathan |
| author_facet | Bakshi, Rhea Palak Guo, Ali Ibarra, Dionne Montoya-Vega, Gabriel Mukherjee, Sujoy Silvero, Marithania Spreer, Jonathan |
| contents | Independence complexes of circle graphs are purely combinatorial objects. However, when constructed from some diagram of a link $L$, they reveal topological properties of $L$, more specifically, of its Khovanov homology. We analyze the homotopy type of independence complexes of circle graphs, with a focus on those arising when the graph is bipartite. Moreover, we compute (real) extreme Khovanov homology of a $4$-strand pretzel knot using chord diagrams and independence complexes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01125 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Independence complexes of circle graphs Bakshi, Rhea Palak Guo, Ali Ibarra, Dionne Montoya-Vega, Gabriel Mukherjee, Sujoy Silvero, Marithania Spreer, Jonathan Geometric Topology Primary: 57M15, Secondary: 57K10, 57K18, 05E45 Independence complexes of circle graphs are purely combinatorial objects. However, when constructed from some diagram of a link $L$, they reveal topological properties of $L$, more specifically, of its Khovanov homology. We analyze the homotopy type of independence complexes of circle graphs, with a focus on those arising when the graph is bipartite. Moreover, we compute (real) extreme Khovanov homology of a $4$-strand pretzel knot using chord diagrams and independence complexes. |
| title | Independence complexes of circle graphs |
| topic | Geometric Topology Primary: 57M15, Secondary: 57K10, 57K18, 05E45 |
| url | https://arxiv.org/abs/2412.01125 |