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On invariants for Legendrian knots

Stipsicz, András and Vértesi, Vera (2009) On invariants for Legendrian knots. PACIFIC JOURNAL OF MATHEMATICS, 239 (1). pp. 157-177. ISSN 0030-8730

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Abstract

Suppose that L is a null–homologous Legendrian knot in the contact 3– manifold (Y, ξ). We determine the connection between the sutured invariant EH(L) = EH(Y − ν(L), ξ|Y −ν(L)) of L and the Legendrian invariant b L(L) defined in [15]. In particular, we derive a vanishing theorem for b L(L) in the presence of Giroux torsion in the complement of the knot, and reprove several known proper ties of the Legendrian invariant from this perspective.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 06 Feb 2014 12:36
Last Modified: 09 Feb 2014 08:46
URI: http://real.mtak.hu/id/eprint/9965

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