Publication: Isomorphism of the groups of Vassiliev invariants of Legendrian and pseudo-Legendrian knots
Isomorphism of the groups of Vassiliev invariants of Legendrian and pseudo-Legendrian knots
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Tchernov, V. (2003). Isomorphism of the groups of Vassiliev invariants of Legendrian and pseudo-Legendrian knots. Compositio Mathematica, 135(1), 103–122. https://doi.org/10.1023/A:1021733206049
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The study of the Vassiliev invariants of Legendrian knots was started by D. Fuchs and S. Tabachnikov who showed that the groups of C-valued Vassiliev invariants of Legendrian and of framed knots in the standard contact R3 are canonically isomorphic. Recently we constructed the first examples of contact 3-manifolds where Vassiliev invariants of Legendrian and of framed knots are different. Moreover in these examples Vassiliev invariants of Legendrian knots distinguish Legendrian knots that are isotopic as framed knots and homotopic as
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- Tchernov, V
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Tchernov, V. (2003). Isomorphism of the groups of Vassiliev invariants of Legendrian and pseudo-Legendrian knots. Compositio Mathematica, 135(1), 103–122. https://doi.org/10.1023/A:1021733206049