Diffeomorphisms of 4-manifolds from graspers
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910925328482304 |
|---|---|
| author | Kosanović, Danica |
| author_facet | Kosanović, Danica |
| contents | We relate degree one grasper families of embedded circles to various constructions of diffeomorphisms found in the literature -- theta clasper classes of Watanabe, barbell diffeomorphisms of Budney and Gabai, and twin twists of Gay and Hartman. We use a ``parameterised surgery map'' that for a smooth 4-manifold $M$ takes loops of framed embeddings of $S^1$ in the manifold obtained by surgery on some 2-sphere in $M$, to the mapping class group of $M$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05822 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diffeomorphisms of 4-manifolds from graspers Kosanović, Danica Geometric Topology 57R40, 57R50, 57K40, 57K45, 57S05 We relate degree one grasper families of embedded circles to various constructions of diffeomorphisms found in the literature -- theta clasper classes of Watanabe, barbell diffeomorphisms of Budney and Gabai, and twin twists of Gay and Hartman. We use a ``parameterised surgery map'' that for a smooth 4-manifold $M$ takes loops of framed embeddings of $S^1$ in the manifold obtained by surgery on some 2-sphere in $M$, to the mapping class group of $M$. |
| title | Diffeomorphisms of 4-manifolds from graspers |
| topic | Geometric Topology 57R40, 57R50, 57K40, 57K45, 57S05 |
| url | https://arxiv.org/abs/2405.05822 |