Rational symplectic field theory for Legendrian knots

@article{Ng2010RationalSF,
  title={Rational symplectic field theory for Legendrian knots},
  author={Lenhard L. Ng},
  journal={Inventiones mathematicae},
  year={2010},
  volume={182},
  pages={451-512}
}
  • Lenhard L. Ng
  • Published 27 June 2008
  • Mathematics
  • Inventiones mathematicae
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. 
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