Lefschetz fibration structures on knot surgery 4-manifolds
Geometric Topology
2009-06-30 v1
Abstract
In this article we study Lefschetz fibration structures on knot surgery 4-manifolds obtained from an elliptic surface E(2) using Kanenobu knots . 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.
Cite
@article{arxiv.0906.5076,
title = {Lefschetz fibration structures on knot surgery 4-manifolds},
author = {Jongil Park and Ki-Heon Yun},
journal= {arXiv preprint arXiv:0906.5076},
year = {2009}
}
Comments
16 pages, 8 figures