Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895220 | Journal of Geometry and Physics | 2006 | 18 Pages |
Abstract
Motivated by mirror symmetry, we consider the Lagrangian fibration R4âR2 and Lagrangian maps f:LâªR4âR2, exhibiting an unstable singularity, and study how the bifurcation locus of gradient lines, the integral curves of âfx, for xâB, where fx(y)=f(y)âxâ
y, changes when f is slightly perturbed. We consider the cases when f is the germ of a fold, of a cusp and, particularly, of an elliptic umbilic.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
G. Marelli,