Flat plumbing basket and contact structure

Abstract

A flat plumbing basket is a Seifert surface consisting of a disk and bands contained in distinct pages of the disk open book decomposition of the 3-sphere. In this paper, we examine close connections between flat plumbing baskets and the contact structure supported by the open book. As an application we give lower bounds for the flat plumbing basket numbers and determine the flat plumbing basket numbers for various knots and links, including the torus links.

15 pages, 8 figures, This is an expanded and improved version of the second author's preprint arXiv:1709.08837

References in corpus (4)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Embedded annuli and Jones' conjecture
• An alternating labeling on a spanning tree of Seifert graphs and applications in knot theory
• Flat plumbing basket, self-linking number and Thurston-Bennequin number

Cited by in corpus (1)

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