6533b871fe1ef96bd12d0daf
RESEARCH PRODUCT
A rigidity theorem for Lagrangian deformations
Mauricio Garaysubject
Algebra and Number TheoryRigidity (electromagnetism)Integrable systemInverse problem for Lagrangian mechanicsInfinitesimalLagrangian systemMathematical analysisComplete intersectionMathematics::Symplectic GeometryGauge symmetryMathematicsSymplectic geometrydescription
We consider deformations of singular Lagrangian varieties in symplectic manifolds. We prove that a Lagrangian deformation of a Lagrangian complete intersection is analytically rigid provided that this is the case infinitesimally. This result is given as a consequence of the coherence of the direct image sheaves of relative infinitesimal Lagrangian deformations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-11-01 | Compositio Mathematica |