Quandles and Monodromy

  title={Quandles and Monodromy},
  author={David N. Yetter},
  journal={Journal of Knot Theory and Its Ramifications},
  • D. Yetter
  • Published 14 May 2002
  • Mathematics
  • Journal of Knot Theory and Its Ramifications
We show that a variety of monodromy phenomena arising in geometric topology and algebraic geometry are most conveniently described in terms of homomorphisms from a(n augmented) knot quandle associated with the base to a suitable (augmented) quandle associated with the fiber. We consider the cases of the monodromy of a branched covering, braid monodromy and the monodromy of a Lefschetz fibration. The present paper is an expanded and corrected version of [1]. 

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