Isotopies of Legendrian 1-knots and Legendrian 2-tori

@inproceedings{KalmnIsotopiesOL,
  title={Isotopies of Legendrian 1-knots and Legendrian 2-tori},
  author={T{\'a}m{\'a}s Kalm{\'a}n}
}
We construct a Legendrian 2-torus in the 1-jet space of S 1 × R (or of R 2) from a loop of Legendrian knots in the 1-jet space of R. The differential graded algebra (DGA) for the Legendrian contact homology of the torus is explicitly computed in terms of the DGA of the knot and the monodromy operator of the loop. The contact homology of the torus is shown to depend only on the chain homotopy type of the monodromy operator. The construction leads to many new examples of Legendrian knotted tori… CONTINUE READING

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