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On the isotopy of Legendrian knots. (English) Zbl 0766.53030

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.

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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