Abstract
Let be a Legendrian submanifold of the –jet space of a Riemannian –manifold . A correspondence is established between rigid flow trees in determined by and boundary punctured rigid pseudo-holomorphic disks in , with boundary on the projection of and asymptotic to the double points of this projection at punctures, provided , or provided and the front of has only cusp edge singularities. This result, in particular, shows how to compute the Legendrian contact homology of in terms of Morse theory.
Citation
Tobias Ekholm. "Morse flow trees and Legendrian contact homology in 1–jet spaces." Geom. Topol. 11 (2) 1083 - 1224, 2007. https://doi.org/10.2140/gt.2007.11.1083
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