Simply slicing knots
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909668469637120 |
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| author | Conway, Anthony Orson, Patrick Pencovitch, Mark |
| author_facet | Conway, Anthony Orson, Patrick Pencovitch, Mark |
| contents | Given a simply-connected 4-manifold with boundary the 3-sphere, this paper establishes sufficient conditions for a knot in the boundary to be sliced by a locally flat disc in the 4-manifold, whose complement has finite cyclic fundamental group. In addition, necessary and sufficient conditions are described to ensure that such discs exist stably, that is after taking the connected sum of the 4-manifold with copies of $S^2 \times S^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simply slicing knots Conway, Anthony Orson, Patrick Pencovitch, Mark Geometric Topology 57K40, 57K10, 57N35 Given a simply-connected 4-manifold with boundary the 3-sphere, this paper establishes sufficient conditions for a knot in the boundary to be sliced by a locally flat disc in the 4-manifold, whose complement has finite cyclic fundamental group. In addition, necessary and sufficient conditions are described to ensure that such discs exist stably, that is after taking the connected sum of the 4-manifold with copies of $S^2 \times S^2$. |
| title | Simply slicing knots |
| topic | Geometric Topology 57K40, 57K10, 57N35 |
| url | https://arxiv.org/abs/2507.00431 |