Bordered LSFT algebras are defined for half-knots, and a pushout theorem recovers Ng's commutative LSFT algebra of the whole Legendrian knot.
Computable Legendrian invariants.Topology, 42(1):55–82, 2003
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Bordered Legendrian Rational Symplectic Field Theory
Bordered LSFT algebras are defined for half-knots, and a pushout theorem recovers Ng's commutative LSFT algebra of the whole Legendrian knot.