Knots and Contact Geometry II: Connected Sums

Details Knots and Contact Geometry II: Connected Sums Knots and Contact Geometry II: Connected Sums

2002-05-29

arxiv.org/abs/math/0205310v1

Mathematics

Symplectic Geometry

13 pages, 5 figures

Scientific paper

We study the behavior of Legendrian and transverse knots under the operation
of connected sums. As a consequence we show that there exist Legendrian knots
that are not distinguished by any known invariant. Moreover, we classify
Legendrian knots in some non-Legendrian simple knot types.

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