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Nonisomorphic Lefschetz fibrations on knot surgery 4-manifolds |
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| Authors: | Jongil Park Ki-Heon Yun |
| Institution: | (1) Department of Mathematical Sciences, Seoul National University, 599 Gwanak-ro, Gwanak-gu, Seoul, 151-747, Republic of Korea;(2) Department of Mathematics and Basic Science Research Institute, Sungshin Women’s University, Seongbuk-gu, Seoul, 136-742, Republic of Korea |
| Abstract: | In this article we construct an infinite family of simply connected minimal symplectic 4-manifolds, each of which admits at least two nonisomorphic Lefschetz fibration structures with the same generic fiber. We obtain such examples by performing knot surgery on an elliptic surface E(n) using a special type of 2-bridge knots. This work was supported by grant No. R01-2005-000-10625-0 from the KOSEF and by the Korea Research Foundation Grant funded by the Korean Government (KRF-2007-314-C00024). |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 57N13 57R17 53D35 |
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