Świątkowski, Jacek On the isotopy of Legendrian knots. (English) Zbl 0766.53030 Ann. Global Anal. Geom. 10, No. 3, 195-207 (1992). Summary: Let \(\gamma_ 0\) and \(\gamma_ 1\) 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 \(\gamma_ 0\) and \(\gamma_ 1\) 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. Cited in 10 Documents MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) Keywords:isotopy; front; Legendrian knots PDFBibTeX XMLCite \textit{J. Świątkowski}, Ann. Global Anal. Geom. 10, No. 3, 195--207 (1992; Zbl 0766.53030) Full Text: DOI References: [1] Abraham, R.; Robbin, J.: Transversal mappings and flows. W.A. Benjamin, New York, 1967. · Zbl 0171.44404 [2] Bennequin, D.: Entrelacements et equations de Pfaff. Asterisque 107–108 (1983), 87–161. · Zbl 0573.58022 [3] Eliashberg, Ya. M.: Combinatorial methods in symplectic geometry. In: Proc. of the International Congress of Mathematicians, Berkeley (1986), pp. 531–539. [4] Eliashberg, Ya. M.: Theorem about the structure of the wave front and its applications to symplectic topology. Functional Anal. Appl. 21 (1987) 3, 65–72. · Zbl 0655.58015 · doi:10.1007/BF02577138 [5] Golubitsky, M.; Guillemin, V.: Stable mappings and their singularities. Springer Verlag, Berlin 1973. · Zbl 0294.58004 [6] Kauffman, L.: On knots. Princeton Univ. Press, Princeton 1987. · Zbl 0627.57002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.