Flat plumbing basket, self-linking number and Thurston-Bennequin number
arXiv:1709.08837
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 . 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.
16 pages, 15 figures, 1 table, comments are added at the first page, this is the first draft of arXiv:1710.11363