Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895209 | Journal of Geometry and Physics | 2006 | 21 Pages |
Abstract
Motivated by mirror symmetry, we consider a Lagrangian fibration X→BX→B and Lagrangian maps f:L↪X→Bf:L↪X→B, when L has dimension 2, exhibiting an unstable singularity, and study how their caustic changes, in a neighbourhood of the unstable singularity, when slightly perturbed. The integral curves of ∇fx∇fx, for x∈Bx∈B, where fx(y)=f(y)−x⋅yfx(y)=f(y)−x⋅y, called “gradient lines”, are then introduced, and a study of them, in order to analyze their bifurcation locus, is carried out.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
G. Marelli,