On definite lattices bounded by integer surgeries along knots with slice genus at most 2

Marco Golla; Christopher Scaduto

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arXiv · 1807.11931

On definite lattices bounded by integer surgeries along knots with slice genus at most 2

Marco Golla·Christopher Scaduto

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Abstract

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.

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Marco Golla, Christopher Scaduto. 2018-07-31. On definite lattices bounded by integer surgeries along knots with slice genus at most 2. https://arxiv.org/abs/1807.11931

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