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Monodromy Groups on Knot Surgery 4-manifolds

Yun, Ki-Heon

  • Received : 2013.11.05
  • Accepted : 2013.12.04
  • Published : 2013.12.23

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

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Acknowledgement

Supported by : National Research Foundation of Korea(NRF)