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arxiv: 0906.5076 · v1 · submitted 2009-06-28 · 🧮 math.GT

Lefschetz fibration structures on knot surgery 4-manifolds

classification 🧮 math.GT
keywords manifoldsfibrationlefschetzstructuresconnectedfamilyinequivalentinfinite
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In this article we study Lefschetz fibration structures on knot surgery 4-manifolds obtained from an elliptic surface E(2) using Kanenobu knots $K$. As a result, we get an infinite family of simply connected mutually diffeomorphic 4-manifolds coming from a pair of inequivalent Kanenobu knots. We also obtain an infinite family of simply connected symplectic 4-manifolds, each of which admits more than one inequivalent Lefschetz fibration structures of the same generic fiber.

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