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New Invariants of Legendrian Knots

  • Yuri Chekanov
Part of the Progress in Mathematics book series (PM, volume 202)

Abstract

We discuss two different ways to construct new invariants of Legendrian knots in the standard contact R3. These invariants are defined combinatorially, in terms of certain planar projections, and (sometimes) allow us to distinguish Legendrian knots which are not Legendrian isotopic but have the same classical invariants.

Keywords

Rotation Number Maslov Index Isotopy Class Differential Algebra Classical Invariant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 2001

Authors and Affiliations

  • Yuri Chekanov
    • 1
  1. 1.Moscow Center for Continuous Mathematics EducationMoscowRussia

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