Quandles and Monodromy
Geometric Topology
2007-05-23 v1
Abstract
We show that a variety of monodromy phenomena arising in geometric topology and algebraic geometry are most conveniently described in terms of quandle homomorphisms from a knot quandle associated to the base to a quandle associated to a fiber. We consider the cases of the monodromy of a branched covering, braid monodromy and the monodromy of a Lefschetz fibration.
Keywords
Cite
@article{arxiv.math/0205162,
title = {Quandles and Monodromy},
author = {D. N. Yetter},
journal= {arXiv preprint arXiv:math/0205162},
year = {2007}
}
Comments
Much expanded version of math.GT/0201270, covering instances of monodromy beyond the monodromy of Lefschetz fibrations