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Subjects
57-XX Manifolds and cell complexes
57Mxx Low-dimensional topology
57M27 Invariants of knots and 3-manifolds

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Finite-type invariants of Legendrian knots in the 3-space: Maslov index as an order 1 invariant

Victor Goryunov, Jonathan Hill (1999)

Banach Center Publications

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.

Floer homology of surgeries on two-bridge knots.

Rasmussen, Jacob (2002)

Algebraic & Geometric Topology

Framed holonomic knots.

Ekholm, Tobias, Wolff, Maxime (2002)

Algebraic & Geometric Topology

Currently displaying 1 – 3 of 3

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