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Linear Legendrian curves in $T^3$

Published online by Cambridge University Press:  26 April 2006

PAOLO GHIGGINI
PAOLO GHIGGINI
Affiliation:
Dipartimento di Matematica, Università di Pisa, via Buonarroti 2, I-56100 Pisa, Italy. e-mail: [email protected]
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Abstract

Using convex surfaces and Kanda's classification theorem, we classify Legendrian isotopy classes of Legendrian linear curves in all tight contact structures on $T^3$. Some of the knot types considered in this paper provide new examples of non transversally simple knot types.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 140 , Issue 3 , May 2006 , pp. 451 - 473
Copyright
2006 Cambridge Philosophical Society

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