English

Obstruction to lagrangian transversality

Differential Geometry 2007-05-23 v1 K-Theory and Homology

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.

Keywords

Cite

@article{arxiv.math/0702288,
  title  = {Obstruction to lagrangian transversality},
  author = {Max Karoubi and Maria Luiza Lapa de Souza},
  journal= {arXiv preprint arXiv:math/0702288},
  year   = {2007}
}

Comments

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