Flat plumbing basket, self-linking number and Thurston-Bennequin number

Keiji Tagami

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arXiv · 1709.08837

Flat plumbing basket, self-linking number and Thurston-Bennequin number

Keiji Tagami

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Abstract

A flat plumbing basket is a surface consisting a disk and finitely many bands which are contained in distinct pages of the trivial open book decomposition of $\mathbf{S}^{3}$. In this paper, we construct a Legendrian link from a flat plumbing basket, and we describe a relation among the self-linking number, the Thurston-Bennequin number and the flat plumbing basket number of the link. As a corollary, we determine the flat plumbing basket numbers of torus links.

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Keiji Tagami. 2017-11-01. Flat plumbing basket, self-linking number and Thurston-Bennequin number. https://arxiv.org/abs/1709.08837

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