[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2013.53.4.603

Monodromy Groups on Knot Surgery 4-manifolds

Yun, Ki-Heon (Department of Mathematics, Sungshin Women's University)

Publication Information

Kyungpook Mathematical Journal / v.53, no.4, 2013 , pp. 603-614 More about this Journal

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 { $E(2)_K{\mid}K$ is a bered 2-bridge knot of genus g in $S^3$ } admits a marked Lefschetz fibration structure which has the same monodromy group.

Keywords

knot surgery 4-manifold; Lefschetz fibration; monodromy group;

Citations & Related Records

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