On definite lattices bounded by integer surgeries along knots with slice genus at most 2
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866910591477612544 |
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| author | Golla, Marco Scaduto, Christopher |
| author_facet | Golla, Marco Scaduto, Christopher |
| contents | We classify the positive definite intersection forms that arise from smooth 4-manifolds with torsion-free homology bounded by positive integer surgeries on the right-handed trefoil. A similar, slightly less complete classification is given for the (2,5)-torus knot, and analogous results are obtained for integer surgeries on knots of slice genus at most two. The proofs use input from Yang--Mills instanton gauge theory and Heegaard Floer correction terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_11931 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On definite lattices bounded by integer surgeries along knots with slice genus at most 2 Golla, Marco Scaduto, Christopher Geometric Topology 57M25, 57M27 We classify the positive definite intersection forms that arise from smooth 4-manifolds with torsion-free homology bounded by positive integer surgeries on the right-handed trefoil. A similar, slightly less complete classification is given for the (2,5)-torus knot, and analogous results are obtained for integer surgeries on knots of slice genus at most two. The proofs use input from Yang--Mills instanton gauge theory and Heegaard Floer correction terms. |
| title | On definite lattices bounded by integer surgeries along knots with slice genus at most 2 |
| topic | Geometric Topology 57M25, 57M27 |
| url | https://arxiv.org/abs/1807.11931 |