Eva Miranda
Areas of Research: Differential Geometry, Symplectic Geometry, Mathematical Physics and interactions with Dynamical Systems
My research unit at UPC is GEOMAP
My orcid and research gate profiles.
My 10 most relevant publications in 10 years with links to the published versions (for a complete list see here):
Cotangent models of integrable systems, Communications in Mathematical Physics, 2016.
Action-angle variables and a KAM theorem for b-Poisson manifolds. J. Math. Pures Appl. (9) 105 (2016), no. 1, 66–85.
Symplectic and Poisson geometry on b-manifolds, Adv. Math., (2014) 264, 864-896.
Geometric Quantization of real polarizations via sheaves, J. Symplectic Geom 13 (2015), no. 2, 421–462.
Toric actions on b-manifolds, Int. Math. Res. Not. IMRN 2015, no. 14, 5818–5848..
Rigidity for Hamiltonian actions on Poisson manifolds, Adv. Math. 229 (2012), no. 2, 1136-1179.
Action-angle coordinates on Poisson manifods, Int. Math. Res. Not. IMRN 2011, no. 8, 1839-1869.
Geometric quantization of integrable systems with hyperbolic singularities, Ann. Inst. Fourier (Grenoble) 60 (2010), no. 1, 51–85.
A singular Poincaré lemma,A singular Poincaré lemma. Int. Math. Res. Not. 2005, no. 1, 27–45.
Equivariant normal form for nondegenerate singular orbits of integrable
hamiltonian system, Ann. Sci. École Norm. Sup. (4) 37 (2004), no. 6,
819-839.