The Rasmussen s-invariant and exotic 4-manifolds
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908848881664000 |
|---|---|
| author | Nahm, Gheehyun |
| author_facet | Nahm, Gheehyun |
| contents | We give a short exposition of Ren and Willis's analysis-free proof of the existence of exotic compact, orientable 4-manifolds. There are two distinguishing features of our exposition. First, we avoid skein lasagna modules; we use Beliakova and Wehrli's generalization of Rasmussen's s-invariant to links in $S^{3}$ directly. Second, we reduce the complexity of the computations by choosing clever induction hypotheses in Stošić's induction scheme; this in particular allows us to avoid Ren and Willis's Comparison Lemma. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20138 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Rasmussen s-invariant and exotic 4-manifolds Nahm, Gheehyun Geometric Topology We give a short exposition of Ren and Willis's analysis-free proof of the existence of exotic compact, orientable 4-manifolds. There are two distinguishing features of our exposition. First, we avoid skein lasagna modules; we use Beliakova and Wehrli's generalization of Rasmussen's s-invariant to links in $S^{3}$ directly. Second, we reduce the complexity of the computations by choosing clever induction hypotheses in Stošić's induction scheme; this in particular allows us to avoid Ren and Willis's Comparison Lemma. |
| title | The Rasmussen s-invariant and exotic 4-manifolds |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2602.20138 |