Classification of Lattices Bounded by Large Surgeries of Knots
Abstract
We classify all the lattices realized as the intersection form of a positive definite four manifold with boundary Sn3(K) for a knot K in the three sphere and a positive integer n greater than 4g4(K)+3. We then use this result to define a concordance invariant and generalize a theorem of Rasmussen on lens space surgeries.
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