Morse flow trees and Legendrian contact homology in 1-jet spaces

@article{Ekholm2007MorseFT,
  title={Morse flow trees and Legendrian contact homology in 1-jet spaces},
  author={Tobias Ekholm},
  journal={Geometry \& Topology},
  year={2007},
  volume={11},
  pages={1083-1224}
}
  • T. Ekholm
  • Published 16 September 2005
  • Mathematics
  • Geometry & Topology
Let L ⊂ J 1 (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 TM, 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… 

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