Lefschetz fibration structures on knot surgery 4-manifolds

Details Lefschetz fibration structures on knot surgery 4-manifolds Lefschetz fibration structures on knot surgery 4-manifolds

2009-06-28

arxiv.org/abs/0906.5076v1

Mathematics

Geometric Topology

16 pages, 8 figures

Scientific paper

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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