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Legendrian circular helix links

Published online by Cambridge University Press:  01 September 1997

LISA TRAYNOR
Affiliation:
Mathematics Department, Bryn Mawr College, Bryn Mawr, PA 19010, U.S.A. e-mail: ltraynor@brynmawr.edu

Abstract

Examples are given of legendrian links in the manifold of cooriented contact elements of the plane, or equivalently, in the 1-jet space of the circle which are not equivalent via an isotopy of contact diffeomorphisms. These examples have generalizations to linked legendrian spheres in contact manifolds diffeomorphic to ℝn×Sn−1. These links are distinguished by applying the theory of generating functions to contact manifolds.

Type
Research Article
Copyright
Cambridge Philosophical Society 1997

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