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arXiv · 0806.4598

Rational Symplectic Field Theory for Legendrian knots

Lenhard Ng
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Abstract

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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BibTeXRIS

Lenhard Ng. 2010-06-21. Rational Symplectic Field Theory for Legendrian knots. https://doi.org/10.1007/s00222-010-0265-8

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