Mathematics – Symplectic Geometry
Scientific paper
2005-09-16
Mathematics
Symplectic Geometry
118 pages, 21 figures
Scientific paper
Let $L\subset J^1(M)$ 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 $T^\ast M$, with boundary on the projection of $L$ and asymptotic to the double points of this projection at punctures, provided $n\le 2$, 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.
No associations
LandOfFree
Morse flow trees and Legendrian contact homology in 1-jet spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Morse flow trees and Legendrian contact homology in 1-jet spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Morse flow trees and Legendrian contact homology in 1-jet spaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-553343