Finite-type invariants of Legendrian knots in the 3-space: Maslov index as an order 1 invariant
Volume 50 / 1999
Banach Center Publications 50 (1999), 107-122
DOI: 10.4064/-50-1-107-122
Abstract
We consider a contractible closure of the space of Legendrian knots in the standard contact 3-space. We show that in this context the space of finite-type complex-valued invariants of Legendrian knots is isomorphic to that of framed knots in $R^3$ with an extra order 1 generator (Maslov index) added.
