2 research outputs found
Rational Symplectic Field Theory for Legendrian knots
We construct a combinatorial invariant of Legendrian knots in standard
contact three-space. This invariant, which encodes rational relative Symplectic
Field Theory and extends contact homology, counts holomorphic disks with an
arbitrary number of positive punctures. The construction uses ideas from string
topology.Comment: 58 pages, many figures; v3: minor corrections; final version, to
appear in Inventiones Mathematica