On the isotopy of Legendrian knots
Received: 20 February 1991 Revised: 06 January 1992 DOI:
Cite this article as: Świ\catkowski, J. Ann Glob Anal Geom (1992) 10: 195. doi:10.1007/BF00136863 Abstract
0 and γ 1 be Legendrian knots which are isotopic as usual knots, and which have the same obvious invariants rot and link. It seems to be an open question whether γ 0 and γ 1 are isotopic as Legendrian knots. In the paper we give a positive answer to this question for the (rather restricted) class of Legendrian knots with nonintersecting fronts. Key words Legendrian knot isotopy front References
Abraham, R.; Robbin, J.:
Transversal mappings and flows
. W.A. Benjamin, New York, 1967.
Bennequin, D.: Entrelacements et equations de Pfaff.
Eliashberg, Ya. M.: Combinatorial methods in symplectic geometry. In:
Proc. of the International Congress of Mathematicians, Berkeley (1986), pp. 531–539.
Eliashberg, Ya. M.: Theorem about the structure of the wave front and its applications to symplectic topology.
Functional Anal. Appl.
(1987) 3, 65–72.
Golubitsky, M.; Guillemin, V.:
Stable mappings and their singularities
. Springer Verlag, Berlin 1973.
. Princeton Univ. Press, Princeton 1987.
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