Bar-Natan skein lasagna modules and exotic surfaces in 4-manifolds
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910936990744576 |
|---|---|
| author | Sullivan, Ian A. |
| author_facet | Sullivan, Ian A. |
| contents | We construct and study the skein lasagna module obtained by importing the Bar-Natan Khovanov homology package. For 4-manifolds satisfying a non-vanishing condition, we produce pairs of exotic surfaces (with boundary) by using the behavior of skein lasagna gluing maps associated to connect sums of 4-manifolds. We show that one internal stabilization is generally not enough for these exotic knotted surfaces, generalizing results of Hayden to 4-manifolds that contain homologically diverse surfaces admitting primitive fillings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03968 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bar-Natan skein lasagna modules and exotic surfaces in 4-manifolds Sullivan, Ian A. Geometric Topology 57K41 (Primary) 57K18, 57R55, 57R56 (Secondary) We construct and study the skein lasagna module obtained by importing the Bar-Natan Khovanov homology package. For 4-manifolds satisfying a non-vanishing condition, we produce pairs of exotic surfaces (with boundary) by using the behavior of skein lasagna gluing maps associated to connect sums of 4-manifolds. We show that one internal stabilization is generally not enough for these exotic knotted surfaces, generalizing results of Hayden to 4-manifolds that contain homologically diverse surfaces admitting primitive fillings. |
| title | Bar-Natan skein lasagna modules and exotic surfaces in 4-manifolds |
| topic | Geometric Topology 57K41 (Primary) 57K18, 57R55, 57R56 (Secondary) |
| url | https://arxiv.org/abs/2504.03968 |