Nonisomorphic Lefschetz fibrations on knot surgery 4-manifolds

Nonisomorphic Lefschetz fibrations on knot surgery 4-manifolds

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 sp...

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Veröffentlicht in:Mathematische annalen 2009-11, Vol.345 (3), p.581-597
Hauptverfasser: Park, Jongil, Yun, Ki-Heon
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-009-0366-0