Friday, 16 August 2013

self-intersection of lagrangian submanifold

self-intersection of lagrangian submanifold

Let's consider lagrangian submanifold $X$ in symplectic manifold $M$. Is
it true that self-intersection index of $X$ is equal to the Euler
characteristic $\chi(X)$? Can we construct (not canonical) isomorphism
between tangent bundle $TX$ and normal bundle $NX$?

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