1. CMB Online first
||Geometric interpretation of Lagrangian equivalence|
As an application of the theory of
graph-like Legendrian unfoldings, relations of the hidden structures
of caustics and wave front propagations are revealed.
Keywords:wave front propagations, big wave fronts, graph-like Legendrian unfoldings, caustics
Categories:58K05, 57R45, 58K60
2. CMB 2005 (vol 48 pp. 547)
||Degeneracy of 2-Forms and 3-Forms |
We study some global aspects of differential complex 2-forms and 3-forms
on complex manifolds.
We compute the cohomology classes represented by the sets of points
on a manifold where such a form degenerates in various senses,
together with other similar cohomological obstructions.
Based on these results and a formula for projective
representations, we calculate the degree of the projectivization
of certain orbits of the representation $\Lambda^k\C^n$.
Keywords:Classes of degeneracy loci, 2-forms, 3-forms, Thom polynomials, global singularity theory