Classification of Lattices Bounded by Large Surgeries of Knots
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911849903030272 |
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| author | Sadr, Ali Naseri |
| author_facet | Sadr, Ali Naseri |
| contents | We classify all the lattices realized as the intersection form of a positive definite four manifold with boundary $S_n^3(K)$ for a knot $K$ in the three sphere and a positive integer $n$ greater than $4g_4(K)+3$. We then use this result to define a concordance invariant and generalize a theorem of Rasmussen on lens space surgeries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14633 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of Lattices Bounded by Large Surgeries of Knots Sadr, Ali Naseri Geometric Topology We classify all the lattices realized as the intersection form of a positive definite four manifold with boundary $S_n^3(K)$ for a knot $K$ in the three sphere and a positive integer $n$ greater than $4g_4(K)+3$. We then use this result to define a concordance invariant and generalize a theorem of Rasmussen on lens space surgeries. |
| title | Classification of Lattices Bounded by Large Surgeries of Knots |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2404.14633 |