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 2. The proofs use input from Yang-Mills instanton gauge theory, Heegaard Floer correction terms, and the topology of singular complex plane curves.
ASJC Scopus subject areas
- Applied Mathematics