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Pré-Publication, Document De Travail Année : 2015

Moduli space of meromorphic differentials with marked horizontal separatrices

Résumé

We study framed translation surfaces corresponding to meromorphic differentials on compact Riemann surfaces, for which a horizontal separatrix is marked for each pole or zero. Such geometric structures naturally appear when studying flat geometry surfaces " near " the Deligne-Mumford boundary. We provide an explicit formula for the number of connected components of the corresponding strata, and give a simple topological invariant that distinghish them.
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Dates et versions

hal-01170878 , version 1 (02-07-2015)
hal-01170878 , version 2 (31-08-2015)
hal-01170878 , version 3 (20-06-2016)
hal-01170878 , version 4 (05-04-2018)
hal-01170878 , version 5 (23-01-2020)

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Citer

Corentin Boissy. Moduli space of meromorphic differentials with marked horizontal separatrices. 2015. ⟨hal-01170878v1⟩
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