Concept information
Preferred term
monodromy
Definition(s)
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In mathematics, monodromy is the study of how objects from mathematical analysis, algebraic topology, algebraic geometry and differential geometry behave as they "run round" a singularity. As the name implies, the fundamental meaning of monodromy comes from "running round singly". It is closely associated with covering maps and their degeneration into ramification; the aspect giving rise to monodromy phenomena is that certain functions we may wish to define fail to be single-valued as we "run round" a path encircling a singularity. The failure of monodromy can be measured by defining a monodromy group: a group of transformations acting on the data that encodes what happens as we "run round" in one dimension. Lack of monodromy is sometimes called polydromy.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Monodromy)
Broader concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-CLPNPLBN-3
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