Obstruction to lagrangian transversality

Abstract

We give a necessary and sufficient condition for lagrangians in a symplectic vector bundle to be deformed stably into transversal lagrangians. In the case of three lagrangians, we show that the associated Grothendieck group can be identified with a Hermitian K-theory group.

7 pages ; see also http://www.math.jussieu.fr/~karoubi/