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Obstruction to lagrangian transversality

Max Karoubi·Maria Luiza Lapa de Souza
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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.

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Max Karoubi, Maria Luiza Lapa de Souza. 2007-02-10. Obstruction to lagrangian transversality. https://arxiv.org/abs/math/0702288

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