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.(more)
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%0 Journal Article
%1 Yetter2002a
%A Yetter, D. N.
%D 2003
%J J. Knot Theory Ramifications
%K algebra quandles topology
%N 4
%P 523--541
%T Quandles and Monodromy
%U http://arxiv.org/abs/math/0205162
%V 12
%X 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.
@article{Yetter2002a,
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.
},
added-at = {2009-05-25T19:39:25.000+0200},
author = {Yetter, D. N.},
biburl = {https://www.bibsonomy.org/bibtex/297d90827299e4b534d3139deb2eb5c78/njj},
description = {Quandles and Monodromy},
interhash = {e182eec8656e9c38c3d39b0cc3ec1ec7},
intrahash = {97d90827299e4b534d3139deb2eb5c78},
journal = {J. Knot Theory Ramifications},
keywords = {algebra quandles topology},
number = 4,
pages = {523--541},
timestamp = {2009-05-25T19:39:25.000+0200},
title = {Quandles and Monodromy},
url = {http://arxiv.org/abs/math/0205162},
volume = 12,
year = 2003
}