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Geometry of moduli spaces of meromorphic connections on curves, Stokes data, ...
Short summary of main work since 1999 -
Surfaces in 3-dimensional homogeneous spaces
The present dissertation deals with the study of minimal and constant mean curvature surfaces in 3-dimensional homogeneous spaces. In a first part, we establish... -
Handbook of Teichmüller theory, Volume III
The subject of this handbook is Teichmüller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes the... -
Labeled Rauzy classes and framed translation surfaces
Due to a technical problem several figures were not printed in the 2013 published version. Hence the paper was published a second time in AIF in 2015 (volume 65, no 2) -
Classification of Rauzy classes in the moduli space of quadratic differentials
32 pages, 11 figures, -
Ends of strata of the moduli space of quadratic differentials
18 pages, 8 pictures. Presentation improved. -
Donaldson theory on non-Kählerian surfaces and class VII surfaces with b_2=1
International audience -
Introduction à la théorie de jauge
International audience -
Deformations of twisted harmonic maps
We study the deformations of twisted harmonic maps f with respect to a representation. After constructing a continuous "universal" twisted harmonic map, we give a... -
Stable maps and quasimaps to toric Fano varieties
We analyze the relationship between two compactifications of the moduli space of maps from curves to a toric fano varieties: the Kontsevich moduli space of stable maps... -
Deformations of harmonic mappings and variation of the energy
32 pages. Several typos have been corrected and some references have been added. To appear on Math. Z.
