27 citations · 76 across the 15 of their papers we have counts for
17 papers
Isotropic maps and moment map flow
François Jauberteau, Yann Rollin
We consider the moduli space of isotropic maps from a closed surface to a symplectic affine space and construct a Kähler moment map geometry, on a space of differential forms o…
Symplectic maps and hyperKähler moment map geometry
Yann Rollin
We obtain a correspondence between the group of symplectic diffeomorphisms of a 4-dimensional real torus and the vanishing locus of a certain hyperKähler moment map. This observati…
Polyhedral approximation by Lagrangian and isotropic tori
Yann Rollin
We prove that every smoothly immersed 2-torus of can be approximated, in the C0-sense, by immersed polyhedral Lagrangian tori. In the case of a smoothly immersed (re…
Discrete geometry and isotropic surfaces
François Jauberteau, Yann Rollin, Samuel Tapie
We consider smooth isotropic immersions from the 2-dimensional torus into , for . When the image of such map is an immersed Lagrangian torus of . We…
Hamiltonian stationary Lagrangian fibrations
Eveline Legendre, Yann Rollin
Hamiltonian stationary Lagrangian submanifolds (HSLAG) are a natural generalization of special Lagrangian manifolds (SLAG). The latter only make sense on Calabi-Yau manifolds where…
ALE scalar-flat Kähler metrics on non-compact weighted projective spaces
Vestislav Apostolov, Yann Rollin
We construct new explicit toric scalar-flat K{ä}hler ALE metrics on weighted projective spaces of non-compact type, which we use to obtain smooth extremal K{ä}hler metrics on appro…