Morse Flow Trees and Legendrian Contact Homology in 1-jet Spaces
نویسنده
چکیده
Let L ⊂ J(M) be a Legendrian submanifold of the 1-jet space of a Riemannian n-manifold M . A correspondence is established between rigid flow trees in M determined by L and boundary punctured rigid pseudo-holomorphic disks in T ∗M , with boundary on the projection of L and asymptotic to the double points of this projection at punctures, provided n ≤ 2, or provided n > 2 and the front of L has only cusp edge singularities. This result, in particular, shows how to compute the Legendrian contact homology of L in terms of Morse theory.
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