A Homological Approach to Relative Knot Invariants

Details A Homological Approach to Relative Knot Invariants A Homological Approach to Relative Knot Invariants

2009-09-23

arxiv.org/abs/0909.4316v1

Mathematics

Symplectic Geometry

Scientific paper

We define relative versions of the classical invariants of Legendrian and
transverse knots in contact 3-manifolds for knots that are homologous to a
fixed reference knot. We show these invariants are well-defined and give some
basic properties.

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