Abbas Bahri - Hill Center for the Mathematical Sciences, Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ 08854-8019, United States (email)
After briefly recalling the pseudo-holomorphic approach in contact
form geometry and after sketching the ways with which this approach
defines invariants, we introduce another approach, of more technical
type, which starts with a variational problem on Legendrian curves.
We show how this approach leads also to the definition of a homology.
Keywords: Contact structures, Reeb vector-fields, Legendrian curves, critical points at infinity.
Received: February 2002; Revised: December 2002; Published: October 2003.
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