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- W4321323347 abstract "The germ of the universal isomonodromic deformation of a logarithmic connection on a stable n-pointed genus g curve always exists in the analytic category. The first part of this paper investigates under which conditions it is the analytic germification of an algebraic isomonodromic deformation. Up to some minor technical conditions, this turns out to be the case if and only if the monodromy of the connection has finite orbit under the action of the mapping class group. The second part of this paper studies the dynamics of this action in the particular case of reducible rank 2 representations and genus g > 0, allowing to classify all finite orbits. Both of these results extend recent ones concerning the genus 0 case." @default.
- W4321323347 created "2023-02-19" @default.
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- W4321323347 date "2016-12-17" @default.
- W4321323347 modified "2023-09-29" @default.
- W4321323347 title "Algebraic isomonodromic deformations and the mapping class group" @default.
- W4321323347 doi "https://doi.org/10.48550/arxiv.1612.05779" @default.
- W4321323347 hasPublicationYear "2016" @default.
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