Research Group:
Speaker:
P. Pushkar
Institution:
Independent University of Moscow
Schedule:
Monday, March 22, 2004 - 08:00 to 09:00
Location:
room B
Abstract:
Suppose that a Legendrian knot in the standard contact space of one jets of functions on the real line can be defined by a generating family. Applying to the generating family a one-parametric version of Morse theory (we are studing generic bifurcations of Morse complexes), we construct certain combinatorial structures on the wavefront of the Legendrian knot. These structures provide new isotopy invariants of Legendrian knots.