Relative Knot Invariants: Properties and Applications

Details Relative Knot Invariants: Properties and Applications Relative Knot Invariants: Properties and Applications

2009-09-23

arxiv.org/abs/0909.4326v1

Mathematics

Symplectic Geometry

Scientific paper

We state Bennequin inequalities in the relative case, and show that the
relative invariants are additive under relative connected sums. We show they
exhibit similar limitations as their classical analogues. We study relatively
Legendrian simple knots and give some classification results.

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