Monodromy Groups on Knot Surgery 4-manifolds

• Journal title : Kyungpook mathematical journal
• Volume 53, Issue 4,  2013, pp.603-614
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2013.53.4.603
Title & Authors
Monodromy Groups on Knot Surgery 4-manifolds
Yun, Ki-Heon;

Abstract
In the article we show that nondieomorphic symplectic 4-manifolds which admit marked Lefschetz fibrations can share the same monodromy group. Explicitly we prove that, for each integer g > 0, every knot surgery 4-manifold in a family {$\small{E(2)_K{\mid}K}$ is a bered 2-bridge knot of genus g in $\small{S^3}$} admits a marked Lefschetz fibration structure which has the same monodromy group.
Keywords
knot surgery 4-manifold;Lefschetz fibration;monodromy group;
Language
English
Cited by
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