Monodromy
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 does happen as we "run round" in one dimension. Lack of monodromy is sometimes called polydromy.
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(G,X)-manifold1908 in scienceAharonov–Bohm effectAlexander GrothendieckAlexander polynomialAlexei BorodinAlgebraic differential equationAlgebraic functionAndrei BolibrukhBase change theoremsBernstein–Sato polynomialBraid groupBranch pointBranched coveringComplex differential equationCube rootCubic surfaceDarboux derivativeDessin d'enfantDifferential geometry of surfacesELSV formulaElliptic surfaceFlat vector bundleFoliationFox n-coloringFunction (mathematics)Fundamental groupGeneric pointGlobal analytic functionGrothendieck–Katz p-curvature conjectureGroup (mathematics)Group schemeHilbert's problemsHilbert's twenty-first problemHistory of group theoryHolonomyHypergeometric functionIcosahedral symmetryIsomonodromic deformationIterated monodromy group
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Monodromy
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 does happen as we "run round" in one dimension. Lack of monodromy is sometimes called polydromy.
has abstract
En matemàtiques, monodromia és ...... an 'envoltem' la singularitat.
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En matemática, monodromía es e ...... 'circundamos' la singularidad.
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In de differentiaalmeetkunde e ...... e singulariteit 'heendraaien'.
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In mathematics, monodromy is t ...... is sometimes called polydromy.
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L'azione di monodromia, in top ...... punti tramite un rivestimento.
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La monodromie est l'étude du c ...... la fonction devient univoque.
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Monodromie bezeichnet in der M ...... eim Umlaufen der Singularität.
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В математике монодро́ми́ей наз ...... етривиального замкнутого пути.
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У математиці монодромією назив ...... тривіального замкнутого шляху.
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数学では、モノドロミー・一価性 (英: monodromy) ...... る」ことに伴い起きることを符号化する情報に作用する群である。
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author
V. I. Danilov
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id
M/m064700
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title
Monodromy
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comment
En matemàtiques, monodromia és ...... an 'envoltem' la singularitat.
@ca
En matemática, monodromía es e ...... 'circundamos' la singularidad.
@es
In de differentiaalmeetkunde e ...... voor wat er gebeurt als we om
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In mathematics, monodromy is t ...... is sometimes called polydromy.
@en
L'azione di monodromia, in top ...... punti tramite un rivestimento.
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La monodromie est l'étude du c ...... alois à la plus petite surface
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Monodromie bezeichnet in der M ...... eim Umlaufen der Singularität.
@de
В математике монодро́ми́ей наз ...... етривиального замкнутого пути.
@ru
У математиці монодромією назив ...... тривіального замкнутого шляху.
@uk
数学では、モノドロミー・一価性 (英: monodromy) ...... る」ことに伴い起きることを符号化する情報に作用する群である。
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label
Azione di monodromia
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Monodromia
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Monodromie
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Monodromie
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Monodromie
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Monodromy
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Monodromía
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Монодромия
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Монодромія
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モノドロミー
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