3 research outputs found
On the complement to a real caustic germ of type
We prove that the complement to the caustic of a stable Lagrangian map germ
of type has seven connected components, six of which are contractible
and one is homotopy equivalent to a circle. The inverse image of the
noncontractible component under this map has three connected components. The
restriction of the map to one of them is a two-sheeted covering; the
restriction to each of the other two is a diffeomorphism. The table of
adjacency indexes of type monosingularity to multisingularities of a
generic Lagrangian map is given.Comment: 59 pages, 21 figure